Modeling and analysis of the fractional-order epidemic model to investigate mutual influence in HIV/HCV co-infection

Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: 112(13), P. 11679 - 11710

Published: May 13, 2024

Language: Английский

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

Computer Methods and Programs in Biomedicine, Journal Year: 2024, Volume and Issue: 254, P. 108306 - 108306

Published: June 28, 2024

Language: 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, Journal Year: 2024, Volume and Issue: 10, P. 100663 - 100663

Published: March 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.

Language: Английский

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Physiological and chaos effect on dynamics of neurological disorder with memory effect of fractional operator: A mathematical study

Computer Methods and Programs in Biomedicine, Journal Year: 2024, Volume and Issue: 250, P. 108190 - 108190

Published: April 24, 2024

Language: 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, Journal Year: 2024, Volume and Issue: 0(0), P. 0 - 0

Published: Jan. 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.

Language: 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, Journal Year: 2023, Volume and Issue: 14(1), P. 283 - 297

Published: Dec. 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.

Language: Английский

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Frobenius Norm-Based Global Stability Analysis of Delayed Bidirectional Associative Memory Neural Networks

Symmetry, Journal Year: 2025, Volume and Issue: 17(2), P. 183 - 183

Published: Jan. 24, 2025

The present research investigates the global asymptotic stability of bidirectional associative memory (BAM) neural networks using distinct sufficient conditions. primary objective this study is to establish new generalized criteria for robust time-delayed BAM at equilibrium point, utilizing Frobenius norm and positive symmetrical approach. conditions are derived with help Lyapunov–Krasovskii functional norm, which important in deep learning a variety reasons. not influenced by system parameter delays network. Finally, numerical example provided demonstrate effectiveness proposed conclusions regarding network parameters.

Language: Английский

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Dynamical Behavior of a Diabetes Model with Complications Using Fractional Operator

Published: Jan. 1, 2025

Language: Английский

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Network based differential abundance analysis: bridging community interactions and host microbiome dynamics

Network Modeling Analysis in Health Informatics and Bioinformatics, Journal Year: 2025, Volume and Issue: 14(1)

Published: Feb. 24, 2025

Language: Английский

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Adaptive robust motion/force control of constrained mobile manipulators using RBF neural network

International Journal of Dynamics and Control, Journal Year: 2024, Volume and Issue: 12(9), P. 3379 - 3391

Published: March 31, 2024

Language: Английский

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