2 citations · 2 across the 12 of their papers we have counts for
13 papers · 1 filter
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…
Discrete dynamics of phytoplankton-zooplankton systems with Holling type functional responses
S. K. Shoyimardonov, U. A. Rozikov
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 fix…
Gonosomal algebras and associated discrete-time dynamical systems
U. A. Rozikov, S. K. Shoyimardonov, R. Varro
In this paper we study the discrete-time dynamical systems associated with gonosomal algebras used as algebraic model in the sex-linked genes inheritance. We show that the class of…
Neimark-Sacker bifurcation and stability analysis in a discrete phytoplankton-zooplankton system with Holling type II functional response
Sobirjon Shoyimardonov
In this paper, we study discrete-time model of phytoplankton-zooplankton with Holling type II predator functional response. It is shown that Neimark-Sacker bifurcation occurs at th…
A non-linear discrete-time dynamical system related to epidemic SISI model
Sobirjon Shoyimardonov
We consider SISI epidemic model with discrete-time. The crucial point of this model is that an individual can be infected twice. This non-linear evolution operator depends on seven…
Planktons discrete-time dynamical systems
U. A. Rozikov, S. K. Shoyimardonov, R. Varro
In this paper, we initiate the study of a discrete-time dynamical system modelling a trophic network connecting the three types of plankton (phytoplankton, zooplankton, mixoplankto…
Leslie's prey-predator model in discrete time
U. A. Rozikov, S. K. Shoyimardonov
We consider the Leslie's prey-predator model with discrete-time. This model is given by a non-linear evolution operator depending on five parameters. We show that this operator has…
On ocean ecosystem discrete time dynamics generated by -Volterra operators
U. A. Rozikov, S. K. Shoyimardonov
We consider a discrete-time dynamical system generated by a nonlinear operator (with four real parameters ) of ocean ecosystem. We find conditions on the parameters under…