Coexistence solutions of a Ivlev-type predator-prey model with cross-diffusion and a protection zone

LIN Na-na; ZHANG Li-na

doi:10.7540/j.ynu.20190233

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LIN Na-na, ZHANG Li-na. Coexistence solutions of a Ivlev-type predator-prey model with cross-diffusion and a protection zone[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(2): 213-219. DOI: 10.7540/j.ynu.20190233

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LIN Na-na, ZHANG Li-na. Coexistence solutions of a Ivlev-type predator-prey model with cross-diffusion and a protection zone[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(2): 213-219. DOI: 10.7540/j.ynu.20190233

Citation:

LIN Na-na, ZHANG Li-na. Coexistence solutions of a Ivlev-type predator-prey model with cross-diffusion and a protection zone[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(2): 213-219. DOI: 10.7540/j.ynu.20190233

Coexistence solutions of a Ivlev-type predator-prey model with cross-diffusion and a protection zone

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We are concerned with the stationary problem of a Ivlev-type predator-prey model with cross-diffusion and a protection zone. The existence of coexistence states is discussed by using the eigenvalue theory and bifurcation theory. As a result, it is shown that the cross-diffusion is beneficial for species coexistence.

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Coexistence solutions of a Ivlev-type predator-prey model with cross-diffusion and a protection zone

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