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Dynamics of a Lotka-Volterra type model with applications to marine phage population dynamics

Christine GavinSchool of Mathematical Sciences University College Cork, Cork, IrelandA. PokrovskiiSchool of Mathematical Sciences University College Cork, Cork, IrelandMichael B. PrenticeDepartment of Microbiology University College Cork, Cork, IrelandVladimir Sobolev
2006en
ABI

Abstract

The famous Lotka-Volterra equations play a fundamental role in the mathematical modeling of various ecological and chemical systems. A new modification of these equations has been recently suggested to model the structure of marine phage populations, which are the most abundant biological entities in the biosphere. The purpose of the paper is: (i) to make some methodical remarks concerning this modification; (ii) to discuss new types of canards which arise naturally in this context; (iii) to present results of some numerical experiments.

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