Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamics

• Autores: Zijuan Wen, Shengmao Fu
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 230, Nº 1, 2009, págs. 34-43
• Idioma: inglés
• DOI: 10.1016/j.cam.2008.10.064
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, an n-species strongly coupled cooperating diffusive system is considered in a bounded smooth domain, subject to homogeneous Neumann boundary conditions. Employing the method of energy estimates, we obtain some conditions on the diffusion matrix and inter-specific cooperatives to ensure the global existence and uniform boundedness of a nonnegative solution. The globally asymptotical stability of the constant positive steady state is also discussed. As a consequence, all the results hold true for multi-species Lotka�Volterra type competition model and prey�predator model.