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Existence of traveling wavefronts in a cooperative systems with discrete delays |
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| Authors: | Xinyuan Liao Xianhua Tang |
| Institution: | a School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China b School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan 410083, China c Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China |
| Abstract: | In this paper, we consider an important Lotka-Volterra model describing a two-species cooperative system with diffusive and discrete delays, and investigate the existence of traveling wavefronts by some mathematics tools including the monotone iteration technique as well as the upper and lower solution method. The results obtained can be seen as a generalization of previous results. |
| Keywords: | Lotka-Volterra cooperative system Traveling wave front Upper and lower solution Monotone iteration technique |
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