A MODEL OF PREDATOR PREY DYNAMICS AS MODIFIED BY THE ACTION OF A PARASITE

被引:113
作者
FREEDMAN, HI
机构
[1] Applied Mathematics Institute, Department of Mathematics, University of Alberta, Edmonton
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1016/0025-5564(90)90001-F
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
A predator-prey population is described in which the prey population may be either a secondary host or a primary host to a parasite, but the predator is always a primary host. Those prey that have been invaded by the parasite have their behavior modified so as to make them more susceptible to predation. The model is described by a system of three autonomous ordinary differential equations. Conditions for persistence of all populations are given in the case that both populations are primary hosts. A brief discussion of the stability of the interior equilibrium is given. © 1990.
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页码:143 / 155
页数:13
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