Asymptotic spreading fastened by inter-specific coupled nonlinearities: A cooperative system
Copyright policy )Asymptotic spreading fastened by inter-specific coupled nonlinearities: A cooperative system
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.
17 pages
- Lanzhou University China (People's Republic of)
nonautonomous equation, Comparison principles in context of PDEs, coupled nonlinearity, complete spreading, Dynamical Systems (math.DS), 35C07, 35K57, 37C65, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Reaction-diffusion equations, Initial value problems for second-order parabolic systems, FOS: Mathematics, Mathematics - Dynamical Systems, Semilinear parabolic equations, Analysis of PDEs (math.AP)
nonautonomous equation, Comparison principles in context of PDEs, coupled nonlinearity, complete spreading, Dynamical Systems (math.DS), 35C07, 35K57, 37C65, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Reaction-diffusion equations, Initial value problems for second-order parabolic systems, FOS: Mathematics, Mathematics - Dynamical Systems, Semilinear parabolic equations, Analysis of PDEs (math.AP)
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