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Positive steady states for a prey-predator model with some nonlinear diffusion terms |
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| Authors: | Tomohito Kadota |
| Institution: | a Department of Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan b Department of Intelligent Mechanical Engineering, Fukuoka Institute of Technology, 3-30-1 Wajiro-Higashi, Higashi-ku, Fukuoka 811-0295, Japan |
| Abstract: | This paper discusses a prey-predator system with strongly coupled nonlinear diffusion terms. We give a sufficient condition for the existence of positive steady state solutions. Our proof is based on the bifurcation theory. Some a priori estimates for steady state solutions will play an important role in the proof. |
| Keywords: | Prey-predator model Nonlinear diffusion Coexistence Steady state A priori estimate Bifurcation |
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