Bibliography for the Harvesting Model

short

 

  1. Selective harvesting in a prey-predator fishery with time delay.  
    Kar, T. K.
    Math. Comput. Modelling  38  (2003),  no. 3-4, 449--458, MathSciNet.  
  2. 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.  
  3. 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.  
  4. Predator-prey models with delay and prey harvesting.
    Martin, Annik; Ruan, Shigui
    J. Math. Biol. 43 (2001), no. 3, 247--267, MathSciNet.  
  5. A Bifurcation Problem in Differential Equations  
    Duff Campbell and Samuel R. Kaplan
    Mathematics Magazine: Volume 73, Number 3, 2000, Pages: 194--203.
  6. 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.   
  7. 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.  
  8. 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.   
  9. 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.  
  10. 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.   
  11. An age-specific optimal harvesting model.
    Shamandy, A.; Varga, Z.
    Pure Math. Appl. 8 (1997), no. 1, 101--110, MathSciNet.  
  12. 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.  
  13. 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.  
  14. A Theory of Sustainable Harvesting  
    Donald Ludwig  
    SIAM Journal on Applied Mathematics, Vol. 55, No. 2. (Apr., 1995), pp. 564-575, Jstor.  
  15. 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.  
  16. 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.  
  17. 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.   
  18. 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.  
  19. Computers, Lies, and the Fishing Season
    Robert Borrelli, Courtney Coleman
    College Math Journal: Volume 25, Number 5, 1994, Pages: 401-412.
  20. 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.  
  21. Modeling the Dynamics of Snags  
    Michael L. Morrison, Martin G. Raphael  
    Ecological Applications, Vol. 3, No. 2. (May, 1993), pp. 322-330, Jstor.  
  22. A partial differential equation model of optimal forest harvesting.
    Quinn, John
    Natur. Resource Modeling 6 (1992), no. 2, 111--138, MathSciNet.  
  23. 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.  
  24. 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.  
  25. 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.  
  26. Harvesting a Grizzly Bear Population  
    Michael Caulfield, John Kent, Daniel McCaffrey
    College Math Journal: Volume 17, Number 1, 1986, Pages: 34-46.
  27. One-dimensional linear and logistic harvesting models.
    Cooke, Kenneth L.; Witten, Matthew
    Math. Modelling 7 (1986), no. 2-3, 301--340, MathSciNet.  
  28. Periodic Equilibria Under Periodic Harvesting  
    A.C. Lazer and D.A. Sanchez
    Mathematics Magazine: Volume 57, Number 3, 1984, Pages: 156-158.
  29. 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.  
  30. 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.  
  31. 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.  
  32. 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.  
  33. Harvesting in matrix population models.
    Kapur, J. N.
    Proc. Nat. Acad. Sci. India Sect. A 49 (1979), no. 2, 118--124, MathSciNet.  
  34. Populations and Harvesting (in Classroom Notes in Applied Mathematics)  
    David A. Sanchez  
    SIAM Review, Vol. 19, No. 3. (Jul., 1977), pp. 551-553, Jstor.  
  35. Optimization Problems Associated with a Leslie Matrix  
    Roy Mendelssohn  
    American Naturalist, Vol. 110, No. 973. (May - Jun., 1976), pp. 339-349, Jstor.  
  36. 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