This issuePrevious ArticlePullback attractors for nonautonomous and random parabolic
equations on non-smooth domainsNext ArticleFamily of nonlinear
wave equations which yield loop solutions and solitary wave
solutions
Co-existence of traveling waves for
a model of microbial growth and competition in a flow reactor
Consider a reaction-diffusion model for a microbial flow reactor
with two competing species. Suppose that the amount of nutrient is
input in a constant velocity at one end of the flow reactor and is
washed out at the other end of the reactor. We study the dynamical
behavior of population growth of these two species. In particular we
are interested in the problem on the coexistence of traveling waves
that best describes the long time dynamical behavior. By developing
shooting method and continuation argument with the aid of an
appropriately Liapunov function, we obtain the sufficient conditions
for the coexistence of traveling waves as well as the minimum wave
speed.