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Volume 8,     Number 4,     Winter 2000

 

ON THE EFFECTS OF ENVIRONMENTAL FLUCTUATIONS IN A SIMPLE MODEL OF BACTERIA-BACTERIOPHAGE INFECTION
E. BERETTA, M. CARLETTI AND F. SOLIMANO

Abstract. In this paper we discuss the outcomes of a Campbell-like model for phage-bacteria interaction in an open-marine environment. We consider both the deterministic and stochastic settings. In the former, the mathematical properties of the model are studied in detail, providing a new stability switch criterion for the endemic equilibrium E+. In the latter, we allow environmental fluctuations to affect the main parameters involved in the model and measure the intensities of such fluctuations by means of Fourier transform methods. Extensive computer simulations finally support our analytical results.

 

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