Bibliography for the Harvesting Model

unabridged

 

  1. A technique for estimating maximum harvesting effort in a stochastic fishery model
    Sarkar, R. R.; Chattopadhayay, J.
    Journal of Biosciences, 2003, vol. 28, no. 4, pp. 497-506, Ingenta.    
  2. Selective harvesting in a prey-predator fishery with time delay.  
    Kar, T. K.
    Math. Comput. Modelling  38  (2003),  no. 3-4, 449--458, MathSciNet.  
  3. Harvesting a renewable resource under uncertainty.  
    Saphores, Jean-Daniel
    J. Econom. Dynam. Control  28  (2003),  no. 3, 509--529, MathSciNet.  
  4. Optimal harvesting for a nonlinear periodic dynamical system. (Chinese)  
    He, Ze Rong; Wang, Mian Sen
    Math. Appl. (Wuhan)  16  (2003),  no. 3, 88--93, MathSciNet.  
  5. Optimal harvesting for a class of semilinear age-dependent time-varying population systems. (Chinese)  
    Xu, Wen Bing
    Math. Practice Theory  33  (2003),  no. 7, 112--118, MathSciNet.  
  6. Nonselective harvesting of a prey-predator fishery with Gompertz law of growth.  
    Purohit, D.; Chaudhuri, K. S.
    Internat. J. Math. Ed. Sci. Tech.  33  (2002),  no. 5, 671--678, MathSciNet.  
  7. A predator-prey system with stage structure and harvesting for predator.  
    Song, Xinyu; Chen, Lansun
    Ann. Differential Equations  18  (2002),  no. 3, 264--277, MathSciNet.  
  8. Modelling and analysis of a single-species system with stage structure and harvesting.  
    Song, Xinyu; Chen, Lansun
    Math. Comput. Modelling  36  (2002),  no. 1-2, 67--82, MathSciNet.  
  9. A Mathematical Model Based on Maximal Weight Independent Sets for a Forest Harvesting Problem
    Tabirca, S.; Tabirca, T.; Abrudan, I. V.
    Technology Letters, 2002, vol. 5, no. 2, pp. 1-4, Ingenta.   
  10. The utility of the two-pass harvesting system: an analysis using the ecosystem simulation model FORECAST
    Welham C.; Seely B.; Kimmins H.
    Canadian Journal of Forest Research, June 2002, vol. 32, no. 6, pp. 1071-1079(9), Ingenta.   
  11. Effects of harvesting regimes on carbon and nitrogen dynamics of boreal forests in central Canada: a process model simulation
    Peng C.; Jiang H.; Apps M.J.; Zhang Y.
    Ecological Modelling, 1 October 2002, vol. 155, no. 2, pp. 177-189(13), Ingenta.   
  12. Parched-Thirst: development and validation of a process-based model of rainwater harvesting
    Young M.D.B.; Gowing J.W.; Wyseure G.C.L.; Hatibu N.
    Agricultural Water Management, 14 June 2002, vol. 55, no. 2, pp. 121-140(20), Ingenta.   
  13. Variable effort harvesting models in random environments: generalization to density-dependent noise intensities. Deterministic and stochastic modeling of biointeraction (West Lafayette, IN, 2000).
    Braumann, Carlos A.
    Math. Biosci. 177/178 (2002), 229--245, MathSciNet.  
  14. Optimal harvesting policy and stability in a stage structured single-species growth model with cannibalism.
    Gao, Shu-jing
    J. Biomath. 17 (2002), no. 2, 194--200, MathSciNet.  
  15. Optimal harvesting policy and stability for single-species growth model with stage structure.
    Song, Xinyu; Chen, Lansun
    J. Syst. Sci. Complex. 15 (2002), no. 2, 194--201, MathSciNet.  
  16. An activity simulation model for the analysis of the harvesting and transportation systems of a sugarcane plantation
    Arjona E.; Bueno G.; Salazar L.
    Computers and Electronics in Agriculture, October 2001, vol. 32, no. 3, pp. 247-264(18), Ingenta.   
  17. Simulation of water harvesting potential in rainfed ricelands using water balance model
    Panigrahi B.; Panda S.N.; Mull R.
    Agricultural Systems, September 2001, vol. 69, no. 3, pp. 165-182(18), Ingenta.   
  18. Harvesting and conserving a species when numbers are low: population viability and gambler's ruin in bioeconomic models
    Bulte E.H.; van Kooten G.C.
    Ecological Economics, 1 April 2001, vol. 37, no. 1, pp. 87-100(14), Ingenta.   
  19. Optimal Control of Harvesting in a Nonlinear Elliptic System Arising from Population Dynamics
    Cañada A.; Magal P.; Montero J.A.
    Journal of Mathematical Analysis and Applications, February 2001, vol. 254, no. 2, pp. 571-586(16), Ingenta.   
  20. Predator-prey models with delay and prey harvesting.
    Martin, Annik; Ruan, Shigui
    J. Math. Biol. 43 (2001), no. 3, 247--267, MathSciNet.  
  21. A Bifurcation Problem in Differential Equations  
    Duff Campbell and Samuel R. Kaplan
    Mathematics Magazine: Volume 73, Number 3, 2000, Pages: 194--203.
  22. Sex and age structured matrix model applied to harvesting a white tailed deer population
    Jensen A.L.
    Ecological Modelling, 20 April 2000, vol. 128, no. 2, pp. 245-249(5), Ingenta.   
  23. Timber harvesting model for Austria
    Sterba, Hubert; Golser, Michael; Moser, Martin; Schaduer, Klemens
    Computers and Electronics in Agriculture, v 28, n 2, Aug, 2000, p 133-149, Compendex.
  24. Achieving global convergence to an equilibrium population in predator-prey systems by the use of a discontinuous harvesting policy
    Costa M.I.S.; Kaszkurewicz E.; Bhaya A.; Hsu L.
    Ecological Modelling, 20 April 2000, vol. 128, no. 2, pp. 89-99(11), Ingenta.   
  25. The stage-structured predator-prey model and optimal harvesting policy.
    Zhang, Xin-an; Chen, Lansun; Neumann, Avidan U.
    Mathematical Biosciences, December 2000, vol. 168, no. 2, pp. 201-210(10), MathSciNet.  
  26. The effects of harvesting and seeding on population model described by the logistic differential equation.
    Montes de Oca, Francisco
    Math. Sci. Res. Hot-Line 4 (2000), no. 2, 31--37, MathSciNet.  
  27. A timber harvesting model for Austria
    Sterba H.; Golser M.; Moser M.; Schadauer K.
    Computers and Electronics in Agriculture, August 2000, vol. 28, no. 2, pp. 133-149(17), Ingenta.   
  28. Periodic solutions of a periodic delay predator-prey model with periodic harvest and stock.
    Huo, Haifeng; Huang, Canyun; Li, Jun; Peng, Shuhui
    J. Gansu Univ. Technol. (Engl. Ed.) 4 (2000), no. 1, 93--95, MathSciNet.  
  29. Periodic solutions of a single species discrete population model with periodic harvest/stock.
    Zhang, R. Y.; Wang, Z. C.; Chen, Y.; Wu, J.
    Comput. Math. Appl. 39 (2000), no. 1-2, 77--90, MathSciNet.  
  30. Discrete event simulation model for purchasing of marked stands, timber harvesting and transportation
    Oinas S.; Sikanen L.
    Forestry, August 2000, vol. 73, no. 3, pp. 283-301(19), Ingenta.   
  31. Simulation of a Biscayne Bay, Florida commercial sponge population: effects of harvesting after Hurricane Andrew
    Cropper W.P.; DiResta D.
    Ecological Modelling, 1 June 1999, vol. 118, no. 1, pp. 1-15(15), Ingenta.   
  32. Optimal harvesting policy for single population with periodic coefficients
    Fan, Meng; Wang, Ke
    Mathematical Biosciences, v 152, n 2, Sep, 1998, p 165-177, Compendex.
  33. Optimal harvesting with both population and price dynamics
    Hanson F.B.; Ryan D.
    Mathematical Biosciences, March 1998, vol. 148, no. 2, pp. 129-146(18), Ingenta.   
  34. Some results on the logistic equation with harvesting
    de Oca, Francisco Montes; Sarabia, Jose
    Revista Tecnica de la Facultad de Ingenieria Universidad del Zulia, v 21, n 2, Aug, 1998, p 131-137, Compendex.
  35. Optimal Harvesting for a Nonlinear Age-Dependent Population Dynamics
    Iannelli S.M.
    Journal of Mathematical Analysis and Applications, October 1998, vol. 226, no. 1, pp. 6-22(17), Ingenta.   
  36. Using stocking or harvesting to reverse period-doubling bifurcations in discrete population models.
    Selgrade, James F.
    J. Differ. Equations Appl. 4 (1998), no. 2, 163--183, MathSciNet.  
  37. A spreadsheet-based cost model for sugarcane harvesting systems
    Salassi M.E.; Champagne L.P.
    Computers and Electronics in Agriculture, August 1998, vol. 20, no. 3, pp. 215-227(13), Ingenta.   
  38. Reversing period-doubling bifurcations in models of population interactions using constant stocking or harvesting. Geoffrey J. Butler Memorial Conference in Differential Equations and Mathematical Biology (Edmonton, AB, 1996).
    Selgrade, James F.; Roberds, James H.
    Canad. Appl. Math. Quart. 6 (1998), no. 3, 207--231, MathSciNet.  
  39. Simulation analysis of evolutionary response of fish populations to size-selective harvesting with the use of an individual-based model
    Martnez-Garmendia J.
    Ecological Modelling, 1 August 1998, vol. 111, no. 1, pp. 37-60(24), Ingenta.   
  40. Optimal Harvesting from a Population in a Stochastic Crowded Environment
    Lungu E.M.; Oksendal B.
    Mathematical Biosciences, 1 October 1997, vol. 145, no. 1, pp. 47-75(29), Ingenta.   
  41. Harvesting Strategies for Fluctuating Populations Based on Uncertain Population Estimates
    Engen S.; Lande R.; Saether B.E.
    Journal of Theoretical Biology, 1997, vol. 186, no. 2, pp. 201-212(12), Ingenta.   
  42. Selective harvesting in a two species fishery model
    Mukhopadhyay A.; Chattopadhyay J.; Tapaswi P.K.
    Ecological Modelling, 15 January 1997, vol. 94, no. 2, pp. 243-253(11), Ingenta.   
  43. An age-specific optimal harvesting model.
    Shamandy, A.; Varga, Z.
    Pure Math. Appl. 8 (1997), no. 1, 101--110, MathSciNet.  
  44. Server System and Queuing Models of Leaf Harvesting by Leaf-Cutting Ants  
    Martin Burd  
    American Naturalist, Vol. 148, No. 4. (Oct., 1996), pp. 613-629, Jstor.  
  45. Analysis of a Fisheries Model for Harvest of Hawksbill Sea Turtles (Eretmochelys imbricata)  
    Selina S. Heppell, Larry B. Crowder  
    Conservation Biology, Vol. 10, No. 3. (Jun., 1996), pp. 874-880, Jstor.  
  46. Using an inventory control model to establish biomass harvesting policies
    Grado S.C.; Strauss C.H.
    Fuel and Energy Abstracts, January 1996, vol. 37, no. 1, pp. 32-32(1), Ingenta.   
  47. Model generation for simulation analysis: an application to timber harvesting
    Sales J.; Mellett F.D.; K. C.C.; C. Y.L.; Randhawa S.U.; Scott T.M.
    Computers and Industrial Engineering, January 1996, vol. 30, no. 1, pp. 51-60(10), Ingenta.   
  48. Game theoretical model of harvesting two species of fish.
    Kunshenko, Ekaterina; Zakharov, Viktor
    Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 65--71, MathSciNet.  
  49. Vibrational control of one and two species harvested population models with a delay
    Graef, Dzh.; Leman, B.; Sakhaj, D.
    Avtomatika i Telemekhanika, n 2, Feb, 1996, p 34-47 Language: Russian, Compendex.
  50. A Theory of Sustainable Harvesting  
    Donald Ludwig  
    SIAM Journal on Applied Mathematics, Vol. 55, No. 2. (Apr., 1995), pp. 564-575, Jstor.  
  51. Survival Pattern of European Hare in a Decreasing Population  
    E. Marboutin, R. Peroux  
    Journal of Applied Ecology, Vol. 32, No. 4. (Nov., 1995), pp. 809-816, Jstor.  
  52. A Modelling Study on Optimal Harvest Intensity of Alkaline Grassland Ecosystems Under Climate Change (in Ecosystem Structure and Composition)  
    Quiong Gao, Xiusheng Yang
    Journal of Biogeography, Vol. 22, No. 2/3, Terrestrial Ecosystem Interactions with Global Change, Volume 1. (Mar. - May, 1995), pp. 509-514, Jstor.  
  53. Using an inventory control model to establish biomass harvesting policies
    Grado S.C.; Strauss C.H.
    Solar Energy, January 1995, vol. 54, no. 1, pp. 3-11(9), Ingenta.   
  54. Stability analysis of harvesting in a predator-prey model
    Azar C.; Holmberg J.; Lindgren K.
    Journal of Theoretical Biology, 1995, vol. 174, no. 1, pp. 13-19(7), Ingenta.   
  55. Models for optimal harvest with convex function of growth rate of a population.
    Lyashenko, O. I.
    Computational and Applied Mathematics, No. 77. J. Math. Sci. 77 (1995), no. 5, 3445--3451, MathSciNet.  
  56. Constant and periodic rate stocking and harvesting for Kolmogorov-type population interaction models. Second Geoffrey J. Butler Memorial Conference in Differential Equations and Mathematical Biology (Edmonton, AB, 1992).
    Buchanan, J. Robert; Selgrade, James F.
    Rocky Mountain J. Math. 25 (1995), no. 1, 67--85, MathSciNet.  
  57. Using Leslie Matrices to Determine Wild Rabbit Population Growth and the Potential for Control  
    G. C. Smith, R. C. Trout  
    Journal of Applied Ecology, Vol. 31, No. 2. (May, 1994), pp. 223-230, Jstor.  
  58. Computers, Lies, and the Fishing Season
    Robert Borrelli, Courtney Coleman
    College Math Journal: Volume 25, Number 5, 1994, Pages: 401-412.
  59. A stabilizing harvesting strategy for an uncertain model of an ecological system.
    Lee, C. S.; Leitmann, G.
    Comput. Math. Appl. 27 (1994), no. 9-10, 199--212, MathSciNet.  
  60. Modeling the Dynamics of Snags  
    Michael L. Morrison, Martin G. Raphael  
    Ecological Applications, Vol. 3, No. 2. (May, 1993), pp. 322-330, Jstor.  
  61. Chattering limit for a model of harvesting in a rapidly changing environment.
    Artstein, Zvi
    Appl. Math. Optim. 28 (1993), no. 2, 133--147, MathSciNet.  
  62. The phase portrait analysis of a three-species Volterra model with constant rates of harvest and investment. (Chinese)
    He, Ping; Shen, Bo Qian
    J. Biomath. 8 (1993), no. 2, 57--64, MathSciNet.  
  63. A partial differential equation model of optimal forest harvesting.
    Quinn, John
    Natur. Resource Modeling 6 (1992), no. 2, 111--138, MathSciNet.  
  64. An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking.
    Myerscough, M. R.; Gray, B. F.; Hogarth, W. L.; Norbury, J.
    J. Math. Biol. 30 (1992), no. 4, 389--411, MathSciNet.  
  65. Population Dynamics of Magpie Geese in Relation to Rainfall and Density: Implications for Harvest Models in a Fluctuating Environment  
    P. Bayliss  
    Journal of Applied Ecology, Vol. 26, No. 3. (Dec., 1989), pp. 913-924, Jstor.  
  66. Species preservation in an optimal harvest model with random prices.
    Goh, C. J.; Teo, K. L.
    Math. Biosci. 95 (1989), no. 2, 125--138, MathSciNet.  
  67. Optimal harvesting of a renewable economic resource in a model with Bertalanffy growth law. II.
    Rodin, Ervin Y.; Adelani, Lateef A.
    Appl. Math. Lett. 2 (1989), no. 2, 155--158, MathSciNet.  
  68. Optimal harvesting of a renewable economic resource in a model with Bertalanffy growth law. I.
    Rodin, Ervin Y.; Adelani, Lateef A.
    Appl. Math. Lett. 2 (1989), no. 1, 7--10, MathSciNet.  
  69. Harvesting in population models with delayed recruitment and age-dependent mortality.
    Brauer, Fred; Rollins, David; Soudack, A. C.
    Natur. Resource Modeling 3 (1988), no. 1, 45--62, MathSciNet.  
  70. Optimum harvesting problems in discrete population models.
    Abakumov, A. I.
    Papers on mathematical ecology, II, 39--48, DM, 88-2, Karl Marx Univ. Econom., Budapest, 1988, MathSciNet.  
  71. Analysis of the complicated dynamics of some harvesting models.
    Cooke, Kenneth L.; Nusse, Helena E.
    J. Math. Biol. 25 (1987), no. 5, 521--542, MathSciNet.  
  72. A control theoretic model of multispecies fish harvesting.
    Chaudhuri, Kripasindhu
    Mathematical modelling in science and technology (Berkeley, Calif., 1985). Math. Modelling 8 (1987), 803--809, MathSciNet.  
  73. Harvesting in delayed-recruitment population models.
    Brauer, Fred
    Oscillations, bifurcation and chaos (Toronto, Ont., 1986), 317--327, CMS Conf. Proc., 8, Amer. Math. Soc., Providence, RI, 1987, MathSciNet.  
  74. Harvesting a Grizzly Bear Population  
    Michael Caulfield, John Kent, Daniel McCaffrey
    College Math Journal: Volume 17, Number 1, 1986, Pages: 34-46.
  75. Numerical solution of a population model with harvesting in a random environment.
    Harrison, Gary W.
    Mathematical ecology (Trieste, 1986), 570--582, World Sci. Publishing, Teaneck, NJ, 1988, MathSciNet.  
  76. Discrete nonlinear harvesting models and their application to forest stand management.
    Getz, Wayne M.; Haight, Robert G.
    Mathematical ecology (Trieste, 1986), 424--439, World Sci. Publishing, Teaneck, NJ, 1988, MathSciNet.  
  77. Qualitative analysis for a class of Volterra models with constant-rate prey harvesting. (Chinese)
    Liang, Zhao Jun; Chen, Lan Sun
    J. Biomath. 1 (1986), no. 1, 22--28, MathSciNet.  
  78. One-dimensional linear and logistic harvesting models.
    Cooke, Kenneth L.; Witten, Matthew
    Math. Modelling 7 (1986), no. 2-3, 301--340, MathSciNet.  
  79. Periodic Equilibria Under Periodic Harvesting  
    A.C. Lazer and D.A. Sanchez
    Mathematics Magazine: Volume 57, Number 3, 1984, Pages: 156-158.
  80. A Model for the Dynamics of a Plant Population Containing Individuals Classified by Age and Size  
    Richard Law
    Ecology, Vol. 64, No. 2. (Apr., 1983), pp. 224-230, Jstor.  
  81. Harvesting Strategies for Age-Stable Populations  
    P. J. Harley, G. A. Manson  
    Journal of Applied Ecology, Vol. 18, No. 1. (Apr., 1981), pp. 141-147, Jstor.  
  82. An optimal harvesting policy for a logistic model in a randomly varying environment.
    Abakuks, Andris; Prajneshu
    Math. Biosci. 55 (1981), no. 3-4, 169--177, MathSciNet.  
  83. Optimal age-specific harvesting policy for a continuous time-population model.
    Rorres, Chris; Fair, Wyman
    Modeling and differential equations in biology (Conf., Southern Illinois Univ., Carbondale, Ill., 1978), pp. 239--254, Lecture Notes in Pure and Appl. Math., 58, Dekker, New York, 1980, MathSciNet.  
  84. Optimal harvesting of age-structured density-dependent animal population models.
    Kapur, J. N.
    Proceedings of the Second International Conference on Mathematical Modelling (St. Louis, Mo., 1979), Vol. I, II, pp. 1085--1095, Univ. Missouri-Rolla, Rolla, Mo., 1980, MathSciNet.  
  85. Optimal Harvesting of a Randomly Fluctuating Resource. II: Numerical Methods and Results  
    Donald Ludwig, James M. Varah  
    SIAM Journal on Applied Mathematics, Vol. 37, No. 1. (Aug., 1979), pp. 185-205, Jstor.  
  86. Optimal Harvesting of a Randomly Fluctuating Resource. I: Application of Perturbation Methods  
    Donald Ludwig  
    SIAM Journal on Applied Mathematics, Vol. 37, No. 1. (Aug., 1979), pp. 166-184, Jstor.  
  87. Harvesting in matrix population models.
    Kapur, J. N.
    Proc. Nat. Acad. Sci. India Sect. A 49 (1979), no. 2, 118--124, MathSciNet.  
  88. Populations and Harvesting (in Classroom Notes in Applied Mathematics)  
    David A. Sanchez  
    SIAM Review, Vol. 19, No. 3. (Jul., 1977), pp. 551-553, Jstor.  
  89. Optimization Problems Associated with a Leslie Matrix  
    Roy Mendelssohn  
    American Naturalist, Vol. 110, No. 973. (May - Jun., 1976), pp. 339-349, Jstor.  
  90. Studies on Plant Demography: Ranunculus Repens L., R. Bulbosus L. and R. Acris L.: III. A Mathematical Model Incorporating Multiple Modes of Reproduction  
    Jose Sarukhan, Madhav Gadgil  
    Journal of Ecology, Vol. 62, No. 3. (Nov., 1974), pp. 921-936, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004