Discrete dynamics of phytoplankton-zooplankton systems with Holling type functional responses
S.K. Shoyimardonov, U.A. Rozikov
TL;DR
This paper analyzes the discrete-time dynamics of phytoplankton-zooplankton interactions incorporating Holling type II and III responses, focusing on stability and convergence of populations under specific conditions.
Contribution
It introduces a discrete model for phytoplankton-zooplankton systems with Holling responses and investigates stability and convergence properties of the system.
Findings
Positive fixed points' stability analyzed.
Invariant sets identified ensuring convergence.
Conditions on parameters for stability established.
Abstract
In this paper, we study discrete dynamics of phytoplankton-zooplankton system with Holling type II and Holling type III predator functional responses. The stability of positive fixed points are investigated. By finding invariant sets, the convergence of the trajectory was shown under certain conditions on the parameters.
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Taxonomy
TopicsAquatic and Environmental Studies · Marine and coastal ecosystems · Diatoms and Algae Research