Existence and Uniqueness of a Solution for a Four‐Stage Age‐Structured Population Dynamics Model With Spatial Diffusion for Desert Locusts.

We consider a linear system based on a population dynamics model dependent on age, space and nonlocal boundary conditions. Note that our population dynamics model is a four‐step model with a second derivative with respect to the age variable and a second derivative with respect to the space variable. Population growth at each stage depends on time and space. We prove the uniqueness and existence of a positive solution by combining the Galerkin's variational method and the Banach's fixed point theorem. [ABSTRACT FROM AUTHOR]