Electronic Journal of Differential Equations,
Conference 05 (2000), pp. 121-133.

Title: Bifurcation of reaction-diffusion systems related to epidemics.

Authors: Anthony W. Leung (Univ. of Cincinnati, Cincinnati OH, USA)
  Beatriz R. Villa (Univ. Nacional de Colombia, Bogota, Colombia)
 
Abstract: 
  The article considers the reaction-diffusion equations modeling the infection 
  of several interacting kinds of species by many types of bacteria.  
  When the infected species compete significantly among themselves, it is shown 
  by bifurcation method that the infected species will coexist with bacterial 
  populations.  The time stability of the postitive steady-states are also 
  considered by semigroup method.  If the infected species do not interact, 
  it is shown that positive coexistence states with bacterial populations 
  are still possible.

Published October 24, 2000.
Math Subject Classifications: 35B32, 35J60, 35K57, 92D30.
Key Words: Reaction-diffusions; Elliptic systems; Parabolic systems; 
  Bifurcations; Epidemiology; Asymptotic stability.