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Bistable dynamics of an insecta€“pathogen model

机译:昆虫病原体模型的双稳态动力学

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We consider a model for insecta€“pathogen interaction where the insect population is divided into two groups, one group susceptible to disease and other resistant to disease. An individual born susceptible to or resistant to disease depends on the local population levels at the start of each generation. Here we consider density-dependent models of transmission because we characterize diseases that spread through environmental propagules or through random contact among individuals. We consider the case where the fraction of resistant individuals increases as the total population increases. White and Wilson (Theor. Popul. Biol. 56, 163 (1999)) have reported the results of density-dependent monotonic increase of resistance class by choosing a particular type of function. In this paper, we have chosen a class of monotonic density-dependent resistance functions and studied their effects on insecta€“pathogen dynamics. In particular, we have investigated the effects of different types of monotonic density-dependent resistance on the bistable nature of the model. Numerical simulation results are presented and interpreted.
机译:我们考虑了昆虫与病原体相互作用的模型,该模型将昆虫种群分为两组,一组易受疾病侵害,另一组易受疾病侵害。对疾病易感或耐药的天生个体取决于每一代开始时的当地人口水平。在这里,我们考虑密度依赖的传播模型,因为我们表征了通过环境繁殖或个体间随机接触传播的疾病。我们考虑的情况是,抗药性个体的比例随着总人口的增加而增加。 White和Wilson(Theor.Popul.Biol.56,163(1999))已经报道了通过选择特定类型的功能,电阻类别的密度依赖性单调增加的结果。在本文中,我们选择了一类与密度有关的单调抗性函数,并研究了它们对昆虫病原体动力学的影响。特别是,我们研究了不同类型的单调密度相关电阻对模型双稳态性质的影响。给出并解释了数值模拟结果。

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