Anthony W. Leung & Beatriz R. Villa
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 25, 2000.
Math Subject Classifications: 35B32, 35J60, 35K57, 92D30.
Key Words: Reaction-diffusions; Elliptic systems; Parabolic systems;
Bifurcations; Epidemiology; Asymptotic stability.
Show me the PDF file (158K), TEX file, and other files for this article.
Anthony W. Leung Department of Mathematical Sciences University of Cincinnati Cincinnati OH 45221-0025, USA e-mail: Anthony.Leung@uc.edu | |
Beatriz R. Villa Department of Mathematics Universidad Nacional de Colombia Bogota, Colombia e-mail: bvilla@matematicas.unal.edu.co |
Return to the EJDE web page