Nonlocal Reaction-Diffusion Equations in Population Dynamics

Abstract

This paper is dedicated to the memory of Narcisa Apreutesei Various problems in population dynamics are described by nonlocal reactiondiffusion equations, where the conventional logistic term for the reproduction rate is replaced by some integral expressions. The properties of such equations, including the existence and stability of solutions, appear to be quite different in comparison with conventional reaction-diffusion equations. In this work, we discuss some nonlocal reaction-diffusion equations and their properties.

Keywords

• nonlocal reaction-diffusion equations
• pulses
• waves