Traveling wave solutions in a diffusive system with two preys and one predator |
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| Authors: | Yan-Li Huang Guo Lin |
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| Institution: | School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, People''s Republic of China |
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| Abstract: | This paper is concerned with the traveling wave solutions in a diffusive system with two preys and one predator. By constructing upper and lower solutions, the existence of nontrivial traveling wave solutions is established. The asymptotic behavior of traveling wave solutions is also confirmed by combining the asymptotic spreading with the contracting rectangles. Applying the theory of asymptotic spreading, the nonexistence of traveling wave solutions is proved. |
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| Keywords: | Minimal wave speed Asymptotic spreading Upper and lower solutions Contracting rectangles |
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