Effect of Fear in Leslie-Gower Predator-Prey Model with Beddington-DeAngelis Functional Response Incorporating Prey Refuge

نویسندگان

چکیده

In the present paper, we study effect of antipredator behavior due to fear predation on a modified Leslie-Gower predator-prey model incorporating prey refuge which rate predators follows Beddington-DeAngelis functional response. The biological justification is demonstrated through non-negativity, boundedness, and permanence. Next, perform analysis equilibrium local stability. We obtain four points where two are locally asymptotically stable other unstable. Besides, show in conclusion that increased can decrease density both populations, populations become extinct. Meanwhile, for case with constant fear, helpful existence populations. However, large, cannot cause extinction predators. Several numerical simulations performed support our analytical results.

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ژورنال

عنوان ژورنال: IJCSAM (International Journal of Computing Science and Applied Mathematics)

سال: 2021

ISSN: ['2477-5401']

DOI: https://doi.org/10.12962/j24775401.v7i2.8718