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Modeling and analysis of a marine bacteriophage infection with latency period. (English) Zbl 1015.92049
From the paper: We propose a delay differential equation model which describes the bacteriophage infection of marine bacteria in the thermoclinic level of the sea during the warm season; the experimental evidence has been reported by several authors. We describe the time evolution of three population densities (assumed spatially homogeneous), namely the susceptible bacteria, the phage-infected bacteria and the infecting agent: the phages. One goal of the authors in this paper is that of providing a better description of the infected class of bacteria with respect to their previous model in Math. Biosci. 149, No. 1, 57-76 (1998; Zbl 0946.92012), where the infection was described by a system of three nonlinear ODEs.

MSC:
92D40 Ecology
34K60 Qualitative investigation and simulation of models involving functional-differential equations
34K20 Stability theory of functional-differential equations
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