Qualitative analysis of a strongly coupled prey-predator model |
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| Authors: | Xiaozhou Feng Zhiguo Wang |
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| Institution: | Department of Mathematics and Physics, Xi’an Technological University, Xi’an 710032, Shaanxi, China; 2. Institute of Mathematics, Shaanxi Normal University, Xi’an 710062, Shaanxi, China |
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| Abstract: | This paper investigates a strongly coupled reaction-diffusion model with Holling-II reaction function in a bounded domain with homogeneous Neumann boundary condition. The sufficient condition for the existence and non-existence of the non-constant positive solutions are obtained. Moreover, we prove that the nonlinear diffusion terms can create non-constant positive equilibrium solutions when the corresponding model without nonlinear diffusion term fails. |
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| Keywords: | cross-diffusion prey-predator system non-constant positive equilibrium solutions |
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