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| Global Solvability for a Predator-Prey Model withPrey-Taxis and Rotational Flux Terms∗ |
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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 |
| Page view： 1181
Net amount： 725 |
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). |
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| 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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