کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
469561 | 698327 | 2009 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Asymptotic behavior of solutions for a Lotka–Volterra mutualism reaction–diffusion system with time delays Asymptotic behavior of solutions for a Lotka–Volterra mutualism reaction–diffusion system with time delays](/preview/png/469561.png)
This paper is to investigate the asymptotic behavior of solutions for a time-delayed Lotka–Volterra NN-species mutualism reaction–diffusion system with homogeneous Neumann boundary condition. It is shown, under a simple condition on the reaction rates, that the system has a unique bounded time-dependent solution and a unique constant positive steady-state solution, and for any nontrivial nonnegative initial function the corresponding time-dependent solution converges to the constant positive steady-state solution as time tends to infinity. This convergence result implies that the trivial steady-state solution and all forms of semitrivial steady-state solutions are unstable, and moreover, the system has no nonconstant positive steady-state solution. A condition ensuring the convergence of the time-dependent solution to one of nonnegative semitrivial steady-state solutions is also given.
Journal: Computers & Mathematics with Applications - Volume 58, Issue 3, August 2009, Pages 597–604