Wavefronts for a non-local reaction-diffusion population model with general distributive maturity

We consider the Al-Omari and Gourley non-local reaction-diffusion population model with distributed maturity. Existence of monotone wavefronts for some particular probability distribution of maturity that permits the linear chain trick was previously obtained; here, we consider the most general form of such a distribution using some comparison arguments for abstract functional differential equations with infinite delay and a fixed point approach combined with the upper and lower solutions technique.

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