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首页> 外文期刊>Applied Mathematical Modelling >Effects of prey refuge on a ratio-dependent predator-prey model with stage-structure of prey population
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Effects of prey refuge on a ratio-dependent predator-prey model with stage-structure of prey population

机译：食饵避难所对食饵种群具有阶段结构的比率依赖型食饵-捕食模型的影响

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摘要

In this paper, a stage-structured predator-prey model is proposed and analyzed to study how the type of refuges used by prey population influences the dynamic behavior of the model. Two types of refuges: those that protect a fixed number of prey and those that protect a constant proportion of prey are considered. Mathematical analyses with regard to positivity, boundedness, equilibria and their stabilities, and bifurcation are carried out. Persistence condition which brings out the useful relationship between prey refuge parameter and maturation time delay is established. Comparing the conclusions obtained from analyzing properties of two types of refuges using by prey, we observe that value of maturation time at which the prey population and hence predator population go extinct is greater in case of refuges which protect a constant proportion of prey.
机译：本文提出并分析了阶段结构的捕食者—猎物模型，以研究猎物种群所使用的避难所类型如何影响该模型的动态行为。考虑了两种类型的避难所：保护固定数量的猎物的庇护所和保护恒定比例的猎物的庇护所。进行了关于正性，有界性，平衡性及其稳定性和分叉的数学分析。建立了揭示食饵避难所参数与成熟时间延迟之间有用关系的持久性条件。比较通过使用猎物分析两种类型的避难所的性质而得出的结论，我们观察到，在保护了一定比例猎物的避难所中，被捕食者种群和因此被捕食者种群灭绝的成熟时间值更大。

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