Department of Mathematical and Life Sciences, Graduate School of Science, Hiroshima University, Higashi-hiroshima, 739-8526, Japan.
J Biol Dyn. 2010 May;4(3):235-47. doi: 10.1080/17513750903009169.
We analyse a general time-discrete mathematical model of host-parasite population dynamics with harvesting, in which the host can be regarded as a pest. We harvest a portion of the host population at a moment in each year. Our model involves the density effect on the host population. We investigate the condition in which the harvesting of the host results in a paradoxical increase of its equilibrium population size. Our results imply that for a family of pest-enemy systems, the paradox of pest control could be caused essentially by the interspecific relationship and the intraspecific density effect.
我们分析了一个具有收获的一般离散时间的宿主-寄生虫种群动态数学模型，其中宿主可以被视为害虫。我们每年在某个时刻收获一部分宿主种群。我们的模型涉及宿主种群的密度效应。我们研究了在这种情况下，对宿主的收获会导致其平衡种群规模悖论性增加的条件。我们的结果表明，对于一系列的害虫-天敌系统，害虫控制的悖论本质上可能是由种间关系和种内密度效应引起的。
