Global Solvability for a Predator-Prey Model withPrey-Taxis and Rotational Flux Terms∗

Citation:

Guoqiang REN,Bin LIU.Global Solvability for a Predator-Prey Model withPrey-Taxis and Rotational Flux Terms∗[J].Chinese Annals of Mathematics B,2024,45(2):297~318
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Authors:

Guoqiang REN; Bin LIU

Foundation:

?This work was supported by the National Natural Science Foundation of China (Nos. 12001214, 12231008) and the Fundamental Research Funds for the Central Universities (No. 3004011139).
Abstract: In this paper the author investigates the following predator-prey model with prey-taxis and rotational flux terms ( ut = ?u ? ? · (uS(x, u, v)?v) + γuF(v) ? uh(u), x ∈ ?, t > 0, vt = D?v ? uF(v) + f(v), x ∈ ?, t > 0 (?) in a bounded domain with smooth boundary. He presents the global existence of generalized solutions to the model (?) in any dimension.

Keywords:

Predator-prey, Prey-taxis, Global existence, Rotational flux

Classification:

92C17, 35K57, 35Q92, 35A01
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