Freedman H I
Department of Mathematics, University of Alberta, Edmonton, Canada.
Math Biosci. 1990 May;99(2):143-55. doi: 10.1016/0025-5564(90)90001-f.
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.
描述了一个捕食者 - 猎物种群，其中猎物种群可能是寄生虫的中间宿主或终宿主，但捕食者始终是终宿主。那些被寄生虫入侵的猎物其行为会发生改变，从而使其更容易被捕食。该模型由一个包含三个自治常微分方程的系统来描述。在两个种群都是终宿主的情况下，给出了所有种群持续存在的条件。对内部平衡点的稳定性进行了简要讨论。
