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On Persistence and Stability of Some Spatially Inhomogeneous Systems
Authors:E Ahmed  AS Hegazi
Institution:
  • a Mathematics Department, Faculty of Science, University of Mansoura, Mansoura, 35516, Egypt
  • b Mathematics Department, Faculty of Science, U.A.E. University, Al-Ain, 17551, United Arab Emirates
  • Abstract:Local and global stability and persistence of some coupled map lattices (CMLs) and partial differential equations are studied. A logistic CML with noninteger time step and delay is introduced. The persistence results for reaction-diffusion equations are extendable to the telegraph reaction-diffusion equation for a sufficiently small delay parameter. The stability and persistence results are applied to ecology, physics, economics, and immunology.
    Keywords:
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