TY - JOUR
T1 - Well-posedness and dissipativity for a model of bacteriophage and bacteria in a flow reactor
AU - Smith, Hal
PY - 2011
Y1 - 2011
N2 - The Levin-Stewart model of bacteriophage predation of bacteria in a chemostat is modified for a flow reactor in which bacteria are motile, phage diffuse, and advection brings fresh nutrient and removes medium, cells and phage. A fixed latent period for phage results in a system of delayed reaction-diffusion equations with non-local nonlinearities. We show that the model generates a well-posed dynamical system which has a compact global attractor.
AB - The Levin-Stewart model of bacteriophage predation of bacteria in a chemostat is modified for a flow reactor in which bacteria are motile, phage diffuse, and advection brings fresh nutrient and removes medium, cells and phage. A fixed latent period for phage results in a system of delayed reaction-diffusion equations with non-local nonlinearities. We show that the model generates a well-posed dynamical system which has a compact global attractor.
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U2 - 10.1216/RMJ-2011-41-2-597
DO - 10.1216/RMJ-2011-41-2-597
M3 - Article
AN - SCOPUS:79958736803
SN - 0035-7596
VL - 41
SP - 597
EP - 613
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
IS - 2
ER -