Diffusive monotonicity and threshold dynamics of delayed reaction diffusion equations
The authors investigate abstract functional differential equations and reaction-diffusion equations with delay. An exponential ordering is introduced which takes into account the spatial diffusion. The induced monotonicity of the solution semiflows is established and applied to describe the threshold dynamics for a nonlocal and delayed reaction-diffusion model. An interesting diffusive population model with nonlocal delay is given to illustrate the theory.
scientific article; zbMATH DE number 1891251
scientific article