An Age-structured Resource-Consumer Dynamical Model
作者： Jean M. Tchuenche
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摘要: Many dynamical systems in population biology which agents compete for resources may exhibit chaotic fluctuations. This short letter develops Gamarra and Sole's previous work. We briefly review a classical model of with complex dynamics, proceed to study the dynamics an age-structured resource-consumer model, fertility coefficients are density independent. Implicit or first integral solutions obtained, conditions they stable given. It is observed that resource availability at any time depends on number potential consumers present.
参考文章(40)
Drumi Bainov, Pavel Simeonov, Integral Inequalities and Applications ,(1992)
Sol I. Rubinow, Mathematical Problems in the Biological Sciences ,(1987)
Oliver L. Austin, Kenneth C. Parkes, Birds of the world ,(1929)
Roger M. Nisbet, Cheryl J. Briggs, William W. Murdoch, Consumer-resource dynamics ,(2003)
J. M. Cushing, An introduction to structured population dynamics ,(1987)
E. C. Pielou, An introduction to mathematical ecology ,(1969)
J.M. Cushing, Brian Dennis, Robert A. Desharnais, R.F. Costantino, An interdisciplinary approach to understanding nonlinear ecological dynamics Ecological Modelling. ,vol. 92, pp. 111- 119 ,(1996) , 10.1016/0304-3800(95)00170-0
F.C. Hoppensteadt, J.D. Murray, Threshold analysis of a drug use epidemic model Mathematical Biosciences. ,vol. 53, pp. 79- 87 ,(1981) , 10.1016/0025-5564(81)90040-7
Javier GP Gamarra, Ricard V Solé, Complex discrete dynamics from simple continuous population models. Bulletin of Mathematical Biology. ,vol. 64, pp. 611- 620 ,(2002) , 10.1006/BULM.2002.0286
J. M Tchuenche, Classroom notes: A note on the MacKendrick Von Foerster type model in a population with genetic structure International Journal of Mathematical Education in Science and Technology. ,vol. 34, pp. 463- 470 ,(2003) , 10.1080/0020739031000071467/463-470