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- W4381685280 abstract "This article deals with a 2 ? 2 reaction-diffusion-taxis model consisting of Michaelis-Menten functional response predator-prey system. The critical section of this model is that temporal-spatial evolution of the predators? velocity depends largely on the gradient of prey. But beyond that, this system also inscribes a prey-taxis mechanism that is an immediate movement of the predator u in response to a change of the prey v (which leads to the collection of u). By using contraction mapping principle, Lp estimates and Schauder estimates of parabolic equations, we prove the global existence and uniqueness of classical solutions to this model. In addition to this, we prove the global boundedness of solutions by overcome the difficulties brought by nonlinear prey-taxis." @default.
- W4381685280 created "2023-06-23" @default.
- W4381685280 creator A5057768109 @default.
- W4381685280 date "2023-01-01" @default.
- W4381685280 modified "2023-09-25" @default.
- W4381685280 title "Global existence and boundedness of solutions in a reaction-diffusion system of Michaelis-Menten-type predator-prey model with nonlinear prey-taxis and random diffusion" @default.
- W4381685280 doi "https://doi.org/10.2298/fil2305535t" @default.
- W4381685280 hasPublicationYear "2023" @default.
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