Nonlinear Differential Equations,
Electron. J. Diff. Eqns., Conf. 05, 2000, pp.121133.
Bifurcation of reactiondiffusion systems related to epidemics
Anthony W. Leung & Beatriz R. Villa
Abstract:
The article considers the reactiondiffusion 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 steadystates 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: Reactiondiffusions; Elliptic systems; Parabolic systems;
Bifurcations; Epidemiology; Asymptotic stability.
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Anthony W. Leung
Department of Mathematical Sciences
University of Cincinnati
Cincinnati OH 452210025, USA
email: Anthony.Leung@uc.edu 

Beatriz R. Villa
Department of Mathematics
Universidad Nacional de Colombia
Bogota, Colombia
email: bvilla@matematicas.unal.edu.co 
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