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Asymptotic spreading fastened by inter-specific coupled nonlinearities: A cooperative system
Authors:Guo Lin
Institution:
  • School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, People’s Republic of China
  • 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.
    Keywords:Comparison principle  Coupled nonlinearity  Nonautonomous equation  Complete spreading
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