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Analysis of a nutrient-phytoplankton model in the presence of viral infection
Authors:Jian-jun Li  Wen-jie Gao
Institution:1.College of science,Liaoning Technical University,Fuxin,China;2.Institute of Mathematics,Jilin University,Changchun,China
Abstract:In this paper, a system of reaction-diffusion equations arising in a nutrient-phytoplankton populations is investigated. The equations model a situation in which phytoplankton population is divided into two groups, namely susceptible phytoplankton and infected phytoplankton. A number of existence and non-existence results about the non-constant steady states of a reaction diffusion system are given. If the diffusion coefficient of the infected phytoplankton is treated as bifurcation parameter, non-constant positive steady-state solutions may bifurcate from the constant steady-state solution under some conditions.
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