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Dynamical analysis and consistent numerics for a delay model of viral infection in phytoplankton population

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In this article, the effects of time delay and carrying capacity in the dynamics of viral phytoplankton and consistence numerics are studied. Basic properties and stabilities of equilibria are rigorously… Click to show full abstract

In this article, the effects of time delay and carrying capacity in the dynamics of viral phytoplankton and consistence numerics are studied. Basic properties and stabilities of equilibria are rigorously analyzed and conditions for stability switches are found. A dynamically consistent nonstandard finite difference scheme for the continuous delay model is designed to verify the results and reveal some interesting features of the model. Some ecological implications and interpretations are provided.

Keywords: numerics delay; analysis consistent; dynamical analysis; consistent numerics; phytoplankton; delay model

Journal Title: Afrika Matematika
Year Published: 2018

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