A delay model for viral infection in toxin producing phytoplankton and zooplankton system |
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Institution: | 1. Sama technical and vocational training college, Islamic Azad University, Izeh branch, Iran;2. Department of Applied Mathematics and Computer Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran |
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Abstract: | An eco-epidemiological delay model is proposed and analysed for virally infected, toxin producing phytoplankton (TPP) and zooplankton system. It is shown that time delay can destabilize the otherwise stable non-zero equilibrium state. The coexistence of all species is possible through periodic solutions due to Hopf bifurcation. In the absence of infection the delay model may have a complex dynamical behavior which can be controlled by infection. Numerical simulation suggests that the proposed model displays a wide range of dynamical behaviors. Different parameters are identified that are responsible for chaos. |
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