带防御机制的捕食者-食饵模型中恐惧因子的作用

doi:10.6040/j.issn.1671-9352.0.2019.670

Abstract

Abstract: A predator-prey model with fear factor and prey defense mechanism is studied. The conditions for the local asymptotic stability of positive equilibrium and the conditions for existence of Hopf bifurcation are obtained, and the effect of fear factor on population density is discussed. Finally, numerical simulation is carried out. As a result, it is shown that the increase of fear degree will lead to the decrease of predator population density, but has no direct effect on the density of prey population.

Key words: predator-prey model, fear factor, hopf bifurction, defense mechanism

CLC Number:

O175.26

WANG Jing, FU Sheng-mao. Effect of fear factor on a predator-prey model with defense mechanish[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(3): 121-126.

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Effect of fear factor on a predator-prey model with defense mechanish

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