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Global solutions for a general strongly coupled prey–predator model |
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| Authors: | Huiling Li Peter YH Pang Mingxin Wang |
| Institution: | aDepartment of Mathematics, Southeast University, Nanjing 210018, People’s Republic of China;bDepartment of Mathematics, National University of Singapore, 2 Science Drive 2, 117543, Republic of Singapore;cScience Research Center, Harbin Institute of Technology, Harbin 150080, People’s Republic of China |
| Abstract: | This work investigates global solutions for a general strongly coupled prey–predator model that involves (self-)diffusion and cross-diffusion, where the cross-diffusion is of the form v/(1+uℓ) with ℓ≥1. Very few mathematical results are known for such models, especially in higher spatial dimensions. |
| Keywords: | Prey– predator models Diffusion Cross-diffusion Global solutions |
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