Existence, uniqueness and stability analysis of allelopathic stimulatory phytoplankton model |
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| Authors: | Syed Abbas Malay Banerjee |
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| Institution: | a Department of Mathematics, University of Fribourg, Pérolles, Chemin du musee 23, 1700 Fribourg, Switzerland
b Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, India |
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| Abstract: | In this paper we consider the two species competitive delay plankton allelopathy stimulatory model system. We show the existence and uniqueness of the solution of the deterministic model. Moreover, we study the persistence of the model and the stability properties of its equilibrium points. We illustrate the theoretical results by some numerical simulations. |
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| Keywords: | Picard iteration Asymptotic stability Bifurcation |
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