Memory impacts in hepatitis C: A global analysis of a fractional-order model with an effective treatment

Computer Methods and Programs in Biomedicine, Год журнала: 2024, Номер 254, С. 108306 - 108306

Опубликована: Июнь 28, 2024

Язык: Английский

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Stability and bifurcation analysis of a discrete predator-prey system of Ricker type with refuge effect

Mathematical Biosciences & Engineering, Год журнала: 2024, Номер 21(3), С. 4554 - 4586

Опубликована: Янв. 1, 2024

<abstract><p>The refuge effect is critical in ecosystems for stabilizing predator-prey interactions. The purpose of this research was to investigate the complexities a discrete-time system with effect. analysis investigated presence and stability fixed points, as well period-doubling Neimark-Sacker (NS) bifurcations. bifurcating fluctuating behavior controlled via feedback hybrid control methods. In addition, numerical simulations were performed evidence back up our theoretical findings. According findings, maintaining an optimal level availability predator prey population cohabitation stability.</p></abstract>

Язык: Английский

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Analysis and modeling with fractal-fractional operator for an epidemic model with reference to COVID-19 modeling

Partial Differential Equations in Applied Mathematics, Год журнала: 2024, Номер 10, С. 100663 - 100663

Опубликована: Март 15, 2024

Scientists and epidemiologists have been developing vaccines immunizing people to stop the spread of COVID-19. Unfortunately, because emergence new strains persistent infections in different nations, global effort combat disease is still only partially successful. This investigation calculates epidemiological impact COVID-19 under mitigation scenarios, which include non-pharmaceutical interventions. In this work, we develop a time-fractional pandemic model using generalized Mittag-Leffler kernel. The fractal-fractional operator used analyze fluctuation infection rate society. existence uniqueness proposed scheme are addressed by applying Banach contraction principle. Ulam-Hyers stability has confirmed. end, numerical simulations fractional-order carried out lower risk negative effects on As fractional orders approach 1, results classical situation, contrast all other solutions, differ show same behavior. Consequently, order provides deeper insights into epidemic disease. Such research will help understand behavior virus prevention strategies for population.

Язык: Английский

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Bifurcation results and chaos in a two-dimensional predator-prey model incorporating Holling-type response function on the predator

Discrete and Continuous Dynamical Systems - S, Год журнала: 2024, Номер 0(0), С. 0 - 0

Опубликована: Янв. 1, 2024

This study presents a novel two-dimensional discrete-time predator-prey model incorporating Holling-type response function on the predator. The focus lies identifying stationary points and investigating multiple bifurcations around positive fixed point, taking into account their biological significance. Notably, our analysis of at interior point unveils range generic bifurcations, including one-parameter two-parameter as well period-doubling, Neimark-Sacker, strong resonance bifurcations. We establish non-degeneracy conditions calculate coefficients critical normal form to deepen understanding computed To validate analytical results, we employ MatContM package in MATLAB, which showcases complex dynamics up fourth iteration. Remarkably, remarkable correlation between numerical simulations findings serves compelling evidence for robustness presented results. work contributes insights models highlights unique aspects bifurcation phenomena this particular context.

Язык: Английский

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DYNAMICAL BEHAVIORS OF A DISCRETE-TIME PREY-PREDATOR MODEL WITH HARVESTING EFFECT ON THE PREDATOR

Journal of Applied Analysis & Computation, Год журнала: 2023, Номер 14(1), С. 283 - 297

Опубликована: Дек. 4, 2023

This study investigates the dynamics of a discrete-time prey-predator model with harvesting effect on predator. During analysis bifurcations at interior fixed point, we find that there are some generic bifurcations, including fold, flip, Neimark-Sacker, and strong resonance bifurcations. Using normal form theory center manifold theorem, can characterize these Furthermore, determine non-degeneracy conditions for computed compute critical coefficients. Our obtained analytical results as well revealing more complex dynamical behaviors cannot be achieved analytically is carried out using numerical continuation method by computing several bifurcation curves emanating from detected points.

Язык: Английский

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Bifurcation analysis of a discrete-time prey-predator model

Bulletin of Biomathematics, Год журнала: 2023, Номер unknown

Опубликована: Окт. 9, 2023

This paper investigates the importance of studying dynamics predator-prey systems and specific significance Neimark-Sacker period-doubling bifurcations in discrete-time prey-predator models. By conducting a numerical bifurcation analysis examining diagrams phase portraits, we present important results that differentiate our study from others field. Firstly, reveals occurrence model under certain parameter values. These lead to emergence stable limit cycles characterized by complex unpredictable dynamics. finding emphasizes inherent complexity nonlinearity contributes deeper understanding their Additionally, highlights advantages limitations employing models population research. The use allows for more tractable while still capturing significant aspects ecological systems. In conclusion, this holds shedding light on role bifurcations. Our findings contribute offer implications management strategies.

Язык: Английский

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Stochastic Modeling of Three-Species Prey–Predator Model Driven by Lévy Jump with Mixed Holling-II and Beddington–DeAngelis Functional Responses

Fractal and Fractional, Год журнала: 2023, Номер 7(10), С. 751 - 751

Опубликована: Окт. 12, 2023

This study examines the dynamics of a stochastic prey–predator model using functional response function driven by Lévy noise and mixed Holling-II Beddington–DeAngelis response. The proposed presents computational analysis between two prey one predator population dynamics. First, we show that suggested admits unique positive solution. Second, prove extinction all studied populations, only predator, persistence considered populations under several sufficient conditions. Finally, special Runge–Kutta method for is illustrated implemented in order to behavior subpopulations.

Язык: Английский

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A role of fear on diseased food web model with multiple functional response

Physical Biology, Год журнала: 2024, Номер 22(1), С. 016004 - 016004

Опубликована: Ноя. 14, 2024

In this paper, we analyze the role of fear in a three-species non-delayed ecological model that examines interactions among susceptible prey, infectious (diseased) and predators within food web. The prey population grows logistic manner until it achieves carrying capacity, reflecting common dynamics absence predators. Diseased is assumed to transmit infection healthful by use Holling type II reaction. Predators, alternatively, are modeled consume their using Beddington-DeAngelis Crowley-Martin response features. This evaluation specializes ensuring non-negativity solutions, practical constraints on dynamics, long-term stability system. Each biologically possible equilibrium point tested understand environmental stable states. Local assessed through eigenvalue analysis, while global positive equilibria evaluated Lyapunov features determine overall model. Furthermore, Hopf bifurcation explored primarily based rate

Язык: Английский

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Complex dynamics of a discrete prey–predator model with complex network and stochastic modeling incorporating a ratio-dependent Ivlev functional response

Chaos An Interdisciplinary Journal of Nonlinear Science, Год журнала: 2025, Номер 35(3)

Опубликована: Март 1, 2025

This research examines the predator-prey model's discrete-time dynamics regulated by a ratio-dependent Ivlev functional response. Our comprehensive algebraic study demonstrates that system undergoes both period-doubling bifurcation and Neimark-Sacker in positive quadrant of phase space. We provide theoretical framework to understand these bifurcations employing center manifold theorem theory. To substantiate our findings, we conduct numerical simulations clearly illustrate chaotic phenomena, including portraits, period-11 orbits, invariant closed circles, attractive sets. In addition, compute Lyapunov exponents validate system's characteristics. Moreover, practical implementation chaos management through state feedback Ott-Grebogi-Yorke approach stabilize trajectories around an unstable equilibrium point. Bifurcations are analyzed discrete model within coupled network. Numerical reveal behavior arises complex dynamical networks when coupling strength parameter reaches critical threshold. Furthermore, employed Euler-Maruyama for stochastic investigate under environmental uncertainty, analyzing realistic cases encompass variety conditions. All results concerning stability, bifurcation, transitions network corroborated simulations.

Язык: Английский

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Global dynamics of a predator-prey system with immigration in both species

Electronic Research Archive, Год журнала: 2024, Номер 32(2), С. 762 - 778

Опубликована: Янв. 1, 2024

<abstract><p>In nature, the vast majority of species live in ecosystems that are not isolated, and same is true for predator-prey ecological systems. With this work, we extend a model by considering inclusion an immigration term both species. From biological point view, allows us to achieve more realistic model. We consider system with Holling type Ⅰ functional response study its global dynamics, which only determine behavior region plane $ \mathbb{R}^2 $, but also control orbits either go or come infinity. First, local dynamics system, analyzing singular points their stability, as well possible limit cycles when they exist. By using Poincaré compactification, studying phase portraits positive quadrant disk, where interest from view.</p></abstract>

Язык: Английский

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