7 papers
Discrete Dynamics of a Phytoplankton-Zooplankton Model with Toxin-Mediated Interactions
Sobirjon Shoyimardonov
We investigate the dynamics of a discrete phytoplankton-zooplankton model incorporating Holling type~III predation and Holling type~II toxin release. The existence and stability of…
Qualitative Dynamics of a Discrete Phytoplankton-Zooplankton System with Holling Type II Grazing and Type III Toxin Release
Sobirjon Shoyimardonov
We study the dynamics of a discrete phytoplankton-zooplankton model with Holling type~II grazing and Holling type~III toxin release. The existence and stability of positive fixed p…
Stability and Bifurcation in a Discrete Phytoplankton-Zooplankton Model with Holling-Type Toxic Effects
Sobirjon Shoyimardonov
In this paper, we investigate a discrete-time phytoplankton-zooplankton model that incorporates a linear predator functional response alongside a Holling-type toxin distribution. B…
Stability and Bifurcation Analysis of a Phytoplankton-Zooplankton Model with Linear Functional Responses
S. K. Shoyimardonov
In this paper, the dynamics of a phytoplankton-zooplankton system with linear functional responses are examined. For the continuous-time model, the global asymptotic stability of t…
Stability, Bifurcation, and Chaos Control in a Discrete-Time Phytoplankton-Zooplankton Model with Holling Type II and Type III Functional Responses
Sobirjon Shoyimardonov
In this paper, we investigate the dynamics of a discrete-time phytoplankton-zooplankton model where the predator functional response and toxin distribution functions follow both Ho…
Discrete-Time Dynamical Systems Generated by a Quadratic Operator
S. K. Shoyimardonov, U. A. Rozikov
In this paper, we examine a specific class of quadratic operators. For these operators, we identified all fixed points and categorized their types in the general case. Our analysis…