On a fractional reaction-diffusion models arising in population dynamics

TL;DR

This paper investigates positive solutions for a fractional reaction-diffusion model in population dynamics, using sub-super solutions, and extends previous results in the field.

Contribution

It introduces a generalized approach to establish existence of solutions for fractional population models with Dirichlet boundary conditions.

Findings

Established existence of positive solutions under new conditions

Generalized previous results in fractional reaction-diffusion models

Applied sub-super solutions method effectively

Abstract

This paper is concerned with the existence of positive solutions for a fractional population model with the homogeneous Dirichlet condition on the exterior of a bounded domain. The approach is based on the sub-super solutions method. Our results generalize some recent results in the literature.