Filomat 2022 Volume 36, Issue 7, Pages: 2153-2170
https://doi.org/10.2298/FIL2207153L
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Global solutions for a general predator-prey model with prey-stage structure and cross-diffusion
Li Xiaojuan (School of Economics, North Minzu University, Yinchuan, Ningxia, P.R. China + College of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan, P.R. China), lixiaojuan114@126.com
Xu Shenghu (School of Economics, North Minzu University, Yinchuan, Ningxia, P.R. China + School of Mathematics and Statistics, Longdong University, Qingyang, Gansu, P.R. China), xuluck2001@163.com
In this paper, a cross-diffusion predator-prey model with general functional
response and stagestructure for the prey is analyzed. The global existence
of classical solutions to the system of strong coupled reaction-diffusion
type is proved when the space dimension less than ten by the energy
estimates and the bootstrap arguments. The crucial point of the proof is to
deal with the cross-diffusion term and the nonlinear predation term .
Keywords: predator-prey model, stage structure, cross-diffusion, Global solution
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