On a diffusion volterra equation

  title={On a diffusion volterra equation},
  author={Andr{\'e}a Schiaffino},
INTRODUCTION IN THIS paper we study the Volterra diffusion equation au/at = Au + au bu2 u(f*u)t (0.1 a) describing the evolution of some population governed by the intrinsic rate a bu and the memory rate f * u containing the effect of the past history on the actual population development. We suppose that the population lives in some bounded domain Sz without interaction with the exterior situation; this is expressed by the Neumann condition au/&i = 0 on aR (0.1 b) where Z%2 is the boundary of R… CONTINUE READING