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Coexistence states for a prey-predator model with cross-diffusion

Journal of Mathematical Analysis and Applications, ISSN: 0022-247X, Vol: 535, Issue: 1, Page: 128106
2024
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Article Description

This paper is concerned with coexistence states for a prey-predator model with cross-diffusion, which differs from the system considered by Nakashima and Yamada [18]. Making use of the unilateral global bifurcation result, we establish some sufficient conditions for the existence of coexistence states. Moreover, some sufficient conditions for the nonexistence of coexistence states are also given.

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