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首页> 外文期刊>International journal of ecology & development >Dynamic Analysis of Prey-Predator Model with Infection in the Prey Species Under the Effect of Primary and Secondary Toxicants
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Dynamic Analysis of Prey-Predator Model with Infection in the Prey Species Under the Effect of Primary and Secondary Toxicants

机译：在原发性和继发毒物的作用下，对猎物物种感染的猎物proded剂模型的动态分析

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This paper depicts a predator-prey model to study the synchronous impact of two toxicants with various toxicities, discharged into nature, affecting the biological species. In the model, we consider simultaneous effect of two toxicants, in which primary toxicant is being converted into secondary toxicant and where secondary toxicant is more harmful. Also, transformation rate from primary toxicant to secondary toxicant is directly proportional to concentration of primary toxicant in the environment. Properties of two of these toxicants are different and hence the uptake rate of these toxicants by different species vary. Feasible equilibrium points have been obtained for the model. Using Routh Hurwitz method, conditions for local stability of non-trivial equilibrium points have been established. Also, using a suitable Lyapunov function, global stability of a non linear system at interior equilibrium point has been established. It has been observed in this paper that when conversion rate from primary to secondary toxicant is more, equilibrium is attained at a lower level and survival of population is less. We observe that although there is lesser infection in species in presence of pollution, survival of species becomes difficult with increase in pollution, therefore, either pollution has to be controlled or certain measures should be taken to reduce the conversion rate so that infection decreases and species also survives.
机译：本文描述了一种捕食者 - 捕食模型，以研究两种具有各种毒性的毒性的同步影响，这些毒性已排放到自然中，影响生物物种。在模型中，我们考虑了两种毒物的同时作用，其中主要有毒物被转化为继发毒物，而继发毒物更有害。同样，从原发性毒物到继发毒物的转化率与环境中原发性毒物的浓度成正比。这些毒物中两个的特性是不同的，因此不同物种对这些毒物的摄取率有所不同。该模型已获得可行的平衡点。使用Routh Hurwitz方法，已经建立了非平凡平衡点的局部稳定性条件。同样，使用合适的Lyapunov函数，已经建立了内部平衡点的非线性系统的全局稳定性。在本文中已经观察到，当从原发性毒物到继发性毒物的转化率更多时，平衡就在较低的水平下达到，人口的存活率较小。我们观察到，尽管存在污染，物种的感染较少，但由于污染的增加，物种的存活变得困难，因此，必须控制污染或应采取某些措施来降低转化率，以降低感染和物种。也幸存下来。

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