Wavefronts for a global reaction-diffusion population model with infinite distributed delay |
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| Authors: | Peixuan Weng |
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| Institution: | School of Mathematical Sciences, South China Normal University, Guangzhou 510631, PR China |
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| Abstract: | We consider a global reaction-diffusion population model with infinite distributed delay which includes models of Nicholson's blowflies and hematopoiesis derived by Gurney, Mackey and Glass, respectively. The existence of monotone wavefronts is derived by using the abstract settings of functional differential equations and Schauder fixed point theory. |
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| Keywords: | Global reaction-diffusion equation Infinite distributed delay Monotone wavefront Fixed point theorem Upper and lower solutions |
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