English, Article edition: DYNAMIC BEHAVIOR OF A NONLINEAR SINGLE SPECIES DIFFUSIVE SYSTEM FENGDE CHEN; XIAOXING CHEN; JINLIN SHI

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Physical Description
  • article
Language
  • English

Edition details

Title
  • DYNAMIC BEHAVIOR OF A NONLINEAR SINGLE SPECIES DIFFUSIVE SYSTEM
Author
  • FENGDE CHEN
  • XIAOXING CHEN
  • JINLIN SHI
Physical Description
  • article
Notes
  • In this paper, we consider the following nonlinear single species diffusive system \begin{eqnarray*} \dot{x}_i(t)&​=​&​ x_i(t)\left(b_i(t)-\sum_{k=​1}^{l_i}a_{ik}(t)(x_i(t))^{\beta_{ik}}\right)\\ &​&​ +\,\sum_{j=​1}^{n}D_{ij}(t)(x_j(t)-x_i(t)),\quad (i,j=​1,2,\ldots,n), \end{eqnarray*} where bi(t), aik(t), Dij(t), i, j =​ 1, 2,â¦, n; k =​ 1, 2,â¦, li are all continuous Ï-periodic functions, and βik, i =​ 1, 2,â¦, n; k =​ 1, 2,â¦, li are positive constants. Sufficient conditions which guarantee the permanence, extinction and existence of a unique globally attractive positive Ï-periodic solution are obtained. Examples together with their numeric simulations show the feasibility of the main results.
  • Periodic solution, permanence, nonlinear single species, diffusion, stability
  • RePEc:wsi:acsxxx:v:08:y:2005:i:04:p:399-417
Language
  • English
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