| Abstract | A two compartment model for marine bacteria and phage is developed. The environment is divided into a small compartment where bacteria grow rapidly with abundant nutrients, and a large compartment where the bacteria have few nutrient resources. There are large epidemics in the compartment containing nutrients, while the no growth compartment serves as a refuge. Delays are introduced to account for the time between infection of a bacterium and when it lyses to produce new phage. New modeling techniques are required to account for the dynamics of the infected bacteria. Bifurcation analysis and parameter sensitivity are shown. Stable oscillatory phenomena are shown for the predator-prey system. |
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