Periodic Solutions of a Discrete-time Diffusive System Governed by Backward Difference Equations
نویسندگان
چکیده
Recently, some biologists have argued that the ratio-dependent predator-prey model is more appropriate than the Gauss-type models for modelling predator-prey interactions where predation involves searching processes. This is strongly supported by numerous laboratory experiments and observations [1, 2, 3, 4, 10, 11, 12]. Many authors [1, 5, 7, 13, 14] have observed that the ratio-dependent predator-prey systems exhibit much richer, more complicated, and more reasonable or acceptable dynamics. In view of periodicity of the actual environment, Chen et al. [6] considered the following two-species ratiodependent predator-prey nonautonomous diffusion system with time delay:
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