Asymptotic spreading fastened by inter-specific coupled nonlinearities: A cooperative system |
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Authors: | 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 asymptotic spreading of a Lotka-Volterra cooperative system. By using the theory of asymptotic spreading of nonautonomous equations, the asymptotic speeds of spreading of unknown functions formulated by a coupled system are estimated. Our results imply that the asymptotic spreading of one species can be significantly fastened by introducing a mutual species, which indicates the role of cooperation described by the coupled nonlinearities. |
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Keywords: | Comparison principle Coupled nonlinearity Nonautonomous equation Complete spreading |
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