Bibliography for the Lotka-Volterra Model

unabridged

  1. On a periodic Lotka-Volterra system with several delays.
    Gai, Mingjiu; Shi, Bao; Yang, Shurong
    Ann. Differential Equations 18 (2002), no. 1, 1--13, MathSciNet.
  2. Average growth and extinction in a two dimensional Lotka-Volterra system.
    Ahmad, Shair; Montes de Oca, Francisco
    Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 9 (2002), no. 2, 177--186, MathSciNet.
  3. Nonautonomous Lotka-Volterra systems with delays.
    Teng, Zhidong
    J. Differential Equations 179 (2002), no. 2, 538--561, MathSciNet.
  4. Stability and uniqueness for cooperative degenerate Lotka-Volterra model.
    Delgado, Manuel; Suárez, Antonio
    Nonlinear Anal. 49 (2002), no. 6, Ser. A: Theory Methods, 757--778, MathSciNet.
  5. The adaptive dynamics of Lotka-Volterra systems with trade-offs.
    Bowers, Roger G.; White, Andrew
    Math. Biosci. 175 (2002), no. 2, 67--81, MathSciNet.
  6. The necessary and sufficient condition for global stability of a Lotka-Volterra cooperative or competition system with delays.
    Saito, Yasuhisa
    J. Math. Anal. Appl. 268 (2002), no. 1, 109--124, MathSciNet.
  7. Global bifurcation structure of stationary solutions for a Lotka-Volterra competition model.
    Kan-on, Yukio
    Discrete Contin. Dyn. Syst. 8 (2002), no. 1, 147--162, MathSciNet.
  8. Periodic solution for a two-species nonautonomous competition Lotka-Volterra patch system with time delay.
    Zhang, Zhengqiu; Wang, Zhicheng
    J. Math. Anal. Appl. 265 (2002), no. 1, 38--48, MathSciNet.
  9. Lotka-Volterra systems with constant interaction coefficients.
    Redheffer, Ray
    Nonlinear Anal. 46 (2001), no. 8, Ser. A: Theory Methods, 1151--1164, MathSciNet.
  10. Dynamical properties of discrete Lotka-Volterra equations.
    Blackmore, Denis; Chen, Jerry; Perez, John; Savescu, Michelle
    Chaos Solitons Fractals 12 (2001), no. 13, 2553--2568, MathSciNet.
  11. Global asymptotic stability of periodic Lotka-Volterra systems with delays.
    Teng, Zhidong; Chen, Lansun
    Nonlinear Anal. 45 (2001), no. 8, Ser. A: Theory Methods, 1081--1095, MathSciNet.
  12. On the convexity of the carrying simplex of planar Lotka-Volterra competitive systems.
    Tineo, Antonio
    Appl. Math. Comput. 123 (2001), no. 1, 93--108, MathSciNet.
  13. Permanence and extinction in logistic and Lotka-Volterra systems with diffusion.
    Cui, Jingan; Chen, Lansun
    J. Math. Anal. Appl. 258 (2001), no. 2, 512--535, MathSciNet.
  14. A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays.
    Saito, Yasuhisa; Ma, Wanbiao; Hara, Tadayuki
    J. Math. Anal. Appl. 256 (2001), no. 1, 162--174, MathSciNet.
  15. Periodic solutions of periodic delay Lotka-Volterra equations and systems.
    Li, Yongkun; Kuang, Yang
    J. Math. Anal. Appl. 255 (2001), no. 1, 260--280, MathSciNet.
  16. On the non-autonomous Lotka-Volterra N-species competing systems.
    Teng, Zhidong
    Appl. Math. Comput. 114 (2000), no. 2-3, 175--185, MathSciNet.
  17. A new approach to the global asymptotic stability problem in a delay Lotka-Volterra differential equation.
    Györi, I.
    Math. Comput. Modelling 31 (2000), no. 6-7, 9--28, MathSciNet.
  18. Limit cycles for the competitive three dimensional Lotka-Volterra system.
    Xiao, Dongmei; Li, Wenxia
    J. Differential Equations 164 (2000), no. 1, 1--15, MathSciNet.
  19. Around Lotka-Volterra kind equations and nearby problems.
    Dubovik, V. M.; Galperin, A. G.; Richvitsky, V. S.
    Nonlinear Phenom. Complex Syst. 3 (2000), no. 3, 242--246
  20. Rational integration of the Lotka-Volterra system.
    Moulin Ollagnier, Jean
    Bull. Sci. Math. 123 (1999), no. 6, 437--466, MathSciNet.
  21. Some new results on nonautonomous Lotka-Volterra competitive systems. (Chinese)
    Teng, Zhi Dong
    J. Biomath. 14 (1999), no. 4, 385--393, MathSciNet.
  22. Global attractivity of the periodic Lotka-Volterra system.
    Pinghua, Yang; Rui, Xu
    J. Math. Anal. Appl. 233 (1999), no. 1, 221--232, MathSciNet.
  23. On a property of nonautonomous Lotka-Volterra competition model.
    Ahmad, Shair; Lazer, A. C.
    Nonlinear Anal. 37 (1999), no. 5, Ser. B: Real World Appl., 603--611, MathSciNet.
  24. Analytic solutions to a family of Lotka-Volterra related differential equations.
    Evans, C. M.; Findley, G. L.
    J. Math. Chem. 25 (1999), no. 2-3, 181--189
  25. Dynamics of the attractor in the Lotka-Volterra equations.
    Duarte, Pedro; Fernandes, Rui L.; Oliva, Waldyr M.
    J. Differential Equations 149 (1998), no. 1, 143--189, MathSciNet.
  26. Three-dimensional competitive Lotka-Volterra systems with no periodic orbits.
    van den Driessche, P.; Zeeman, M. L.
    SIAM J. Appl. Math. 58 (1998), no. 1, 227--234 (electronic), MathSciNet.
  27. Fixation in a cyclic Lotka-Volterra model.
    Frachebourg, L.; Krapivsky, P. L.
    J. Phys. A 31 (1998), no. 15, L287--L293, MathSciNet.
  28. Oscillations and Chaos behind Predator-Prey Invasion: Mathematical Artifact or Ecological Reality?  
    Jonathan A. Sherratt, Barry T. Eagan, Mark A. Lewis  
    Philosophical Transactions: Biological Sciences, Vol. 352, No. 1349. (Jan. 29, 1997), pp. 21-38, Jstor.
  29. Soil Food Webs and Ecosystem Processes: Decomposition in Donor-Control and Lotka-Volterra Systems  
    David W. Zheng, Jan Bengtsson, Goran I. Agren  
    American Naturalist, Vol. 149, No. 1. (Jan., 1997), pp. 125-148, Jstor.
  30. Predator-Induced Breeding Suppression and Its Consequences for Predator-Prey Population Dynamics  
    Graeme D. Ruxton, Steven L. Lima  
    Proceedings: Biological Sciences, Vol. 264, No. 1380. (Mar. 22, 1997), pp. 409-415, Jstor.
  31. Can Sublethal Parasitism Destabilize Predator-Prey Population Dynamics? A Model of Snowshoe Hares, Predators and Parasites  
    Anthony R. Ives, Dennis L. Murray  
    Journal of Animal Ecology, Vol. 66, No. 2. (Mar., 1997), pp. 265-278, Jstor.
  32. Predator-Prey Instability: Individual-Level Mechanisms for Population-Level Results  
    B. E. Beisner, E. McCauley, F. J. Wrona  
    Functional Ecology, Vol. 11, No. 1. (Feb., 1997), pp. 112-120, Jstor.
  33. Dynamic Ideal Free Distribution: Effects of Optimal Patch Choice on Predator-Prey Dynamics  
    Vlastimil Krivan  
    American Naturalist, Vol. 149, No. 1. (Jan., 1997), pp. 164-178, Jstor.
  34. Old and new results on Lotka-Volterra systems.
    Redheffer, Raymond
    Proceedings of the Second World Congress of Nonlinear Analysts, Part 6 (Athens, 1996). Nonlinear Anal. 30 (1997), no. 6, 3207--3213, MathSciNet.
  35. Extinction in Nonautonomous Competitive Lotka-Volterra Systems  
    Francisco Montes de Oca, Mary Lou Zeeman  
    Proceedings of the American Mathematical Society, Vol. 124, No. 12. (Dec., 1996), pp. 3677-3687, Jstor.
  36. Connection between the Existence of First Integrals and the Painleve Property in Two-Dimensional Lotka-Volterra and Quadratic Systems  
    D. D. Hua, L. Cairo, M. R. Feix, K. S. Govinder, P. G. L. Leach  
    Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 452, No. 1947. (Apr. 9, 1996), pp. 859-880, Jstor.
  37. The existence of globally stable equilibria of n-dimensional Lotka-Volterra systems.
    Ji, Xinhua
    Appl. Anal. 62 (1996), no. 1-2, 11--28, MathSciNet.
  38. Coexistence in competitive Lotka-Volterra systems.
    Kim, June Gi
    Commun. Korean Math. Soc. 11 (1996), no. 1, 147--151, MathSciNet.
  39. On directed periodic orbits in three-dimensional competitive Lotka-Volterra systems.
    Zeeman, Mary Lou
    Differential equations and applications to biology and to industry (Claremont, CA, 1994), 563--572, World Sci. Publishing, River Edge, NJ, 1996
  40. Extinction in Competitive Lotka-Volterra Systems  
    Mary Lou Zeeman  
    Proceedings of the American Mathematical Society, Vol. 123, No. 1. (Jan., 1995), pp. 87-96, Jstor.
  41. Global Stability for a Class of Predator-Prey Systems  
    Sze-Bi Hsu, Tzy-Wei Huang  
    SIAM Journal on Applied Mathematics, Vol. 55, No. 3. (Jun., 1995), pp. 763-783, Jstor.
  42. Balancing survival and extinction in nonautonomous competitive Lotka-Volterra systems.
    Montes de Oca, F.; Zeeman, M. L.
    J. Math. Anal. Appl. 192 (1995), no. 2, 360--370, MathSciNet.
  43. An Accurate Solution to the Multispecies Lotka-Volterra Equations (in Classroom Notes)  
    Shmuel Olek  
    SIAM Review, Vol. 36, No. 3. (Sep., 1994), pp. 480-488, Jstor.
  44. Multiple limit cycles for three-dimensional Lotka-Volterra equations.
    Hofbauer, J.; So, J. W.-H.
    Appl. Math. Lett. 7 (1994), no. 6, 65--70, MathSciNet.
  45. On the Nonautonomous Volterra-Lotka Competition Equations  
    Shair Ahmad  
    Proceedings of the American Mathematical Society, Vol. 117, No. 1. (Jan., 1993), pp. 199-204, Jstor.
  46. Loose Coupling of Predator-Prey Cycles: Entrainment, Chaos, and Intermittency in the Classic Macarthur Consumer-Resource Equations  
    John Vandermeer  
    American Naturalist, Vol. 141, No. 5. (May, 1993), pp. 687-716, Jstor.
  47. Diffusion-Induced Chaos in a Spatial Predator--Prey System  
    Mercedes Pascual  
    Proceedings: Biological Sciences, Vol. 251, No. 1330. (Jan. 22, 1993), pp. 1-7, Jstor.
  48. Dynamics of Age-Structured and Spatially Structured Predator-Prey Interactions: Individual-Based Models and Population-Level Formulations  
    Edward McCauley, William G. Wilson, Andre M. de Roos  
    American Naturalist, Vol. 142, No. 3. (Sep., 1993), pp. 412-442, Jstor.
  49. Harmless delays for uniform persistence in a nonclassical two-species Lotka-Volterra system. (Chinese)
    Ruan, Jiong
    J. Fudan Univ. Natur. Sci. 32 (1993), no. 2, 121--129, MathSciNet.
  50. Self-Assembling Food Webs: A Global Viewpoint of Coexistence of Species in Lotka-Volterra Communities  
    Richard Law, Jerry C. Blackford  
    Ecology, Vol. 73, No. 2. (Apr., 1992), pp. 567-578, Jstor.
  51. The Coevolution of Predator--Prey Interactions: ESSS and Red Queen Dynamics  
    Paul Marrow, Richard Law, C. Cannings  
    Proceedings: Biological Sciences, Vol. 250, No. 1328. (Nov. 23, 1992), pp. 133-141, Jstor.
  52. Coexistence regions in Lotka-Volterra models with diffusion.
    López-Gómez, Julián; Pardo San Gil, Rosa
    Nonlinear Anal. 19 (1992), no. 1, 11--28, MathSciNet.
  53. Mobility Versus Density-Limited Predator--Prey Dynamics on Different Spatial Scales  
    Andre M. De Roos, Edward Mccauley, William G. Wilson  
    Proceedings: Biological Sciences, Vol. 246, No. 1316. (Nov. 22, 1991), pp. 117-122, Jstor.
  54. Bionomic exploitation of Lotka-Volterra prey-predator system.
    Chaudhuri, K. S.; Ray, Sumita Saha
    Bull. Calcutta Math. Soc. 83 (1991), no. 2, 175--186, MathSciNet.
  55. On neutral-delay two-species Lotka-Volterra competitive systems.
    Kuang, Y.
    J. Austral. Math. Soc. Ser. B 32 (1991), no. 3, 311--326, MathSciNet.
  56. Stochastic Structure and Nonlinear Dynamics of Food Webs: Qualitative Stability in a Lotka-Volterra Cascade Model  
    J. E. Cohen, T. Luczak, C. M. Newman, Z.-M. Zhou  
    Proceedings of the Royal Society of London. Series B, Biological Sciences, Vol. 240, No. 1299. (Jun. 22, 1990), pp. 607-627, Jstor.
  57. Oscillations in Lotka-Volterra systems of chemical reactions.
    Hering, Roger H.
    J. Math. Chem. 5  (1990), no. 2, 197--202
  58. A Neural Network Modeled by an Adaptive Lotka-Volterra System  
    V. W. Noonburg  
    SIAM Journal on Applied Mathematics, Vol. 49, No. 6. (Dec., 1989), pp. 1779-1792, Jstor.
  59. The effect of clustering on the Lotka-Volterra model.
    Poland, Douglas
    Phys. D 35 (1989), no. 1-2, 148--166
  60. A Lotka-Volterra's system of reaction-diffusion equations with time lag in ecology.
    Ding, Chong Wen
    Ann. Differential Equations 5 (1989), no. 2, 129--143
  61. Global Asymptotic Stability of Lotka-Volterra Diffusion Models with Continuous Time Delay  
    E. Beretta, Y. Takeuchi  
    SIAM Journal on Applied Mathematics, Vol. 48, No. 3. (Jun., 1988), pp. 627-651, Jstor.
  62. Stability and Hopf Bifurcation in a Predator-Prey System with Several Parameters  
    J. Hainzl  
    SIAM Journal on Applied Mathematics, Vol. 48, No. 1. (Feb., 1988), pp. 170-190, Jstor.
  63. Complete factorisation and analytic solutions of generalized Lotka-Volterra equations.
    Brenig, L.
    Phys. Lett. A 133 (1988), no. 7-8, 378--382
  64. Global stability results for a generalized Lotka-Volterra system with distributed delays: applications to predator-prey and to epidemic systems.
    Beretta, E.; Capasso, V.; Rinaldi, F.
    J. Math. Biol. 26 (1988), no. 6, 661--688.
  65. The LaSalle invariant set for a six-dimensional Lotka-Volterra predator-prey chain system. (Chinese)
    Lu, Zheng Yi
    Sichuan Daxue Xuebao 25 (1988), no. 2, 145--150.
  66. A stable spatially nonconstant equilibrium of Lotka-Volterra two-patch system with May-Leonard dynamics.
    Kishimoto, Kazuo
    Biomathematics and related computational problems (Naples, 1987), 331--335, Kluwer Acad. Publ., Dordrecht, 1988.
  67. Lotka-Volterra models: partial stability and partial ultimate boundedness.
    Fergola, P.; Tenneriello, C.
    Biomathematics and related computational problems (Naples, 1987), 283--294, Kluwer Acad. Publ., Dordrecht, 1988.
  68. Bifurcations and Transitions to Chaos in the Three-Dimensional Lotka- Volterra Map  
    L. Gardini, R. Lupini, C. Mammana, M. G. Messia  
    SIAM Journal on Applied Mathematics, Vol. 47, No. 3. (Jun., 1987), pp. 455-482, Jstor.
  69. Antipredator Behavior and the Population Dynamics of Simple Predator-Prey Systems  
    Anthony R. Ives, Andrew P. Dobson  
    American Naturalist, Vol. 130, No. 3. (Sep., 1987), pp. 431-447, Jstor.
  70. Periodic solutions of periodically harvested Lotka-Volterra systems.
    Hausrath, Alan R.; Manásevich, Raúl F.
    Rev. Colombiana Mat. 21 (1987), no. 2-4, 337--345.
  71. On the steady-state problem for the Volterra-Lotka competition model with diffusion.
    Cantrell, Robert Stephen; Cosner, Chris
    Houston J. Math. 13 (1987), no. 3, 337--352.
  72. A permanence theorem for replicator and Lotka-Volterra systems.
    Jansen, Wolfgang
    J. Math. Biol. 25 (1987), no. 4, 411--422.
  73. Integrals of a Lotka-Volterra system of odd number of variables.
    Itoh, Yoshiaki
    Progr. Theoret. Phys. 78 (1987), no. 3, 507--510.
  74. Bifurcations and transitions to chaos in the three-dimensional Lotka-Volterra map.
    Gardini, L.; Lupini, R.; Mammana, C.; Messia, M. G.
    SIAM J. Appl. Math. 47 (1987), no. 3, 455--482.
  75. Global stability and oscillations in classical Lotka-Volterra loops.
    Roy, A. B.; Solimano, F.
    J. Math. Biol. 24 (1987), no. 6, 603--616.
  76. Periodic solutions of a forced Lotka-Volterra equation.
    Táboas, P.
    J. Math. Anal. Appl. 124 (1987), no. 1, 82--97.
  77. On the boundedness of cyclic predator-prey systems of Volterra and Lotka.
    Oshime, Yorimasa
    Recent topics in nonlinear PDE, III (Tokyo, 1986), 241--246, North-Holland Math. Stud., 148, North-Holland, Amsterdam, 1987.
  78. Bifurcation phenomena appearing in the Lotka-Volterra competition equations: a numerical study.
    Namba, Toshiyuki
    Math. Biosci. 81 (1986), no. 2, 191--212.
  79. Global asymptotic stability in a periodic Lotka-Volterra system.
    Gopalsamy, K.
    J. Austral. Math. Soc. Ser. B 27 (1985), no. 1, 66--72.
  80. Infectious Disease and Species Coexistence: A Model of Lotka-Volterra Form  
    Robert D. Holt, John Pickering  
    American Naturalist, Vol. 126, No. 2. (Aug., 1985), pp. 196-211, Jstor.
  81. Continuous Lotka-Volterra models for evolution processes.
    Ebeling, W.; Feistel, R.
    Lotka-Volterra-approach to cooperation and competition in dynamic systems (Eisenach, 1984), 55--62, Math. Res., 23, Akademie-Verlag, Berlin, 1985.
  82. Stable Coexistence States in the Volterra-Lotka Competition Model with Diffusion  
    Chris Cosner, A. C. Lazer  
    SIAM Journal on Applied Mathematics, Vol. 44, No. 6. (Dec., 1984), pp. 1112-1132, Jstor.
  83. Stable Coexistence States in the Volterra-Lotka Competition Model with Diffusion  
    Chris Cosner, A. C. Lazer  
    SIAM Journal on Applied Mathematics, Vol. 44, No. 6. (Dec., 1984), pp. 1112-1132, Jstor.
  84. Traveling Wave Solutions of Diffusive Lotka-Volterra Equations: A Heteroclinic Connection in R^4  
    Steven R. Dunbar
    Transactions of the American Mathematical Society, Vol. 286, No. 2. (Dec., 1984), pp. 557-594, Jstor.
  85. An alternative to Lotka-Volterra competition in coarse-grained environments.
    Brew, J. S.
    Theoret. Population Biol. 25 (1984), no. 3, 265--288.
  86. On the Cauchy problem for Volterra-Lotka's competition equations with migration effect and its travelling wave like solutions.
    Niizeki, Syôzô
    Funkcial. Ekvac. 27 (1984), no. 1, 1--24.
  87. A unified modelling concept for nonlinear systems with Lotka-Volterra equations.
    Peschel, M.; Mende, W.
    Systems Anal. Modelling Simulation 1 (1984), no. 1, 17--26.
  88. Scenarios leading to chaos in a forced Lotka-Volterra model.
    Inoue, Masayoshi; Kamifukumoto, Hiroshi
    Progr. Theoret. Phys. 71 (1984), no. 5, 930--937
  89. The Period in the Volterra-Lotka Predator-Prey Model  
    Jorg Waldvogel  
    SIAM Journal on Numerical Analysis, Vol. 20, No. 6. (Dec., 1983), pp. 1264-1272, Jstor.
  90. Stable spatio-temporal oscillations of diffusive Lotka-Volterra system with three or more species.
    Kishimoto, Kazuo; Mimura, M.; Yoshida, K.
    J. Math. Biol. 18 (1983), no. 3, 213--221
  91. Exact solutions of generalized Lotka-Volterra competition equations.
    Abdelkader, Mostafa A.
    Internat. J. Control 35 (1982), no. 1, 55--62
  92. Dispersal and the Stability of Predator-Prey Interactions  
    Philip H. Crowley  
    American Naturalist, Vol. 118, No. 5. (Nov., 1981), pp. 673-701, Jstor.
  93. Three-step food chains in Gompertz and Lotka-Volterra models.
    Bhat, Nalini; Pande, L. K.
    J. Theoret. Biol. 91 (1981), no. 3, 429--435
  94. On an extension of classical Lotka-Volterra model of a predator-prey system.
    Chongdar, A. K.; Chatterjea, S. K.
    Bangabasi Evening College Mag. 17 (1981), 8--10
  95. Stability in a One-Predator-Three-Prey Community  
    Roger A. Powell  
    American Naturalist, Vol. 115, No. 4. (Apr., 1980), pp. 567-579, Jstor.
  96. Lotka-Volterra-like approach to large-scale systems stability.
    Gruji'c, Lj. T.; Burgat, C.
    Internat. J. Systems Sci. 11 (1980), no. 10, 1131--1144
  97. On the Lotka-Volterra type models of cyclical crisis.
    Csetényi, A.; Tóth, F.
    Selected papers on mathematics, pp. 51--59, DM 80, 1, Karl Marx Univ. Econom., Budapest, 1980
  98. Conditions for Global Stability Concerning a Prey-Predator Model with Delay Effects  
    Anthony Leung  
    SIAM Journal on Applied Mathematics, Vol. 36, No. 2. (Apr., 1979), pp. 281-286, Jstor.
  99. Convergence to Homogeneous Equilibrium State for Generalized Volterra-Lotka Systems with Diffusion  
    P. De Mottoni, F. Rothe  
    SIAM Journal on Applied Mathematics, Vol. 37, No. 3. (Dec., 1979), pp. 648-663, Jstor.
  100. Waterboatmen, and Testing for Lotka-Volterra-Type Interactions (in Letters to the Editors)  
    Marc Bergmans  
    American Naturalist, Vol. 113, No. 5. (May, 1979), pp. 759-761, Jstor.
  101. Spiral Chaos in a Predator-Prey Model (in Letters to the Editors)  
    Michael E. Gilpin  
    American Naturalist, Vol. 113, No. 2. (Feb., 1979), pp. 306-308, Jstor.
  102. The Lotka-Volterra equations. Conclusions from a coordinate transformation.
    Power, Henry M.
    Internat. J. Control 30 (1979), no. 4, 669--672
  103. Persistence and extinction in three species Lotka-Volterra competitive systems.
    Hallam,Thomas G.; Svoboda,Linda J.; Gard,Thomas C.
    Math.Biosci.46 (1979),no.1-2,117--124
  104. A note on the global stability and bifurcation phenomenon of a Lotka-Volterra food chain.
    So, Joseph W. H.
    J. Theoret. Biol. 80 (1979), no. 2, 185--187
  105. Lotka-Volterra Population Models  
    Peter J. Wangersky  
    Annual Review of Ecology and Systematics, Vol. 9. (1978), pp. 189-218, Jstor.
  106. A More Functional Response to Predator-Prey Stability (in Letters to the Editors)  
    Simon A. Levin  
    American Naturalist, Vol. 111, No. 978. (Mar. - Apr., 1977), pp. 381-383, Jstor.
  107. Liapunov stability of the diffusive Lotka-Volterra equations.
    Jorné, Jacob; Carmi, Shlomo
    Math. Biosci. 37 (1977), no. 1-2, 51--61
  108. On Lotka-Volterra predator prey models.
    Billard, L.
    J. Appl. Probability 14 (1977), no. 2, 375--381
  109. Concepts of Stability and Resilience in Predator-Prey Models  
    J. R. Beddington, C. A. Free, J. H. Lawton  
    Journal of Animal Ecology, Vol. 45, No. 3. (Oct., 1976), pp. 791-816, Jstor.
  110. Convergence to the equilibrium state in the Volterra-Lotka diffusion equations.
    Rothe, F.
    J. Math. Biol. 3 (1976), no. 3-4, 319--324
  111. Functional Response and Stability in Predator-Prey Systems  
    Allan Oaten, William W. Murdoch  
    American Naturalist, Vol. 109, No. 967. (May - Jun., 1975), pp. 289-298, Jstor.
  112. Switching, Functional Response, and Stability in Predator-Prey Systems  
    Allan Oaten, William W. Murdoch  
    American Naturalist, Vol. 109, No. 967. (May - Jun., 1975), pp. 299-318, Jstor.
  113. On Volterra-Lotka systems.
    Sinha, A. S. C.
    Internat. J. Systems Sci. 6 (1975), 49--55
  114. A Biological Least-Action Principle for the Ecological Model of Volterra-Lotka  
    Paul A. Samuelson  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 71, No. 8. (Aug., 1974), pp. 3041-3044, Jstor.
  115. Exact solutions of Lotka-Volterra equations.
    Abdelkader, Mostafa A.
    Math. Biosci. 20 (1974), 293--297
  116. A biological least-action principle for the ecological model of Volterra-Lotka.
    Samuelson, Paul A.
    Proc. Nat. Acad. Sci. U.S.A. 71 (1974), 3041--3044
  117. The Stability of Predator-Prey Systems  
    J. Maynard Smith, M. Slatkin  
    Ecology, Vol. 54, No. 2. (Mar., 1973), pp. 384-391, Jstor.
  118. Enriched Predator-Prey Systems: Theoretical Stability (in Reports)  
    Michael E. Gilpin, M. L. Rosenzweig  
    Science, New Series, Vol. 177, No. 4052. (Sep. 8, 1972), pp. 902-904, Jstor.
  119. A Markov Contingency-Table Model for Replicated Lotka-Volterra Systems Near Equilibrium  
    Joel E. Cohen  
    American Naturalist, Vol. 104, No. 940. (Nov. - Dec., 1970), pp. 547-560, Jstor.
  120. Variation in the Availability of Food as a Cause of Fluctuations in Predator and Prey Population Densities  
    A. L. Jensen, R. C. Ball  
    Ecology, Vol. 51, No. 3. (May, 1970), pp. 517-520, Jstor.
  121. Graphical Representation and Stability Conditions of Predator-Prey Interactions  
    M. L. Rosenzweig, R. H. MacArthur  
    American Naturalist, Vol. 97, No. 895. (Jul. - Aug., 1963), pp. 209-223, Jstor.
  122. Time Lag in Prey-Predator Population Models  
    Peter J. Wangersky, W. J. Cunningham  
    Ecology, Vol. 38, No. 1. (Jan., 1957), pp. 136-139, Jstor.

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003