The effects of cross-diffusion and logistic source on the boundedness of solutions to a pursuit-evasion model
We study the following quasilinear pursuit-evasion model: $ \begin{equation*} \left\{ \begin{array}{ll} u_{t} = \Delta u-\chi\nabla \cdot (u(u+1)^{\alpha}\nabla w)+u(\lambda_{1}-\mu_{1}u^{r_{1}-1}+ av),\ &\ \ x\in \Omega, \ t>0,\\[2.5mm] v_{t} = \Delta v+\xi\nabla \cdot(v(v+1)^...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-04-01
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| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2023170?viewType=HTML |