Dynamic analysis of additional food provided non-smooth pest-natural enemy models based on nonlinear threshold control

Journal of Applied Mathematics and Computing, Journal Year: 2025, Volume and Issue: unknown

Published: Jan. 2, 2025

Language: Английский

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Digital analysis of discrete fractional order cancer model by artificial intelligence

Alexandria Engineering Journal, Journal Year: 2025, Volume and Issue: 118, P. 115 - 124

Published: Jan. 21, 2025

Language: Английский

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Mathematical exploration on control of bifurcation for a 3D predator-prey model with delay

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(11), P. 29883 - 29915

Published: Jan. 1, 2024

<p>In this current paper, we developed a new predator-prey model accompanying delay based on the earlier works. By applying inequality strategies, fixed point theorem, and suitable function, got necessary conditions for existence, uniqueness, nonnegativeness, boundedness of solution to delayed model. The bifurcation behavior stability nature defined were investigated by using theory differential equations. We have modified Hopf bifurcation's appearance time domain building two distinct hybrid feedback controllers explored. Matlab experiment diagrams given support learned important results. derived outcomes in paper original significant theoretical implications maintaining equilibrium between densities three species.</p>

Language: Английский

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Bifurcation and Controller Design of 5D BAM Neural Networks With Time Delay

International Journal of Numerical Modelling Electronic Networks Devices and Fields, Journal Year: 2024, Volume and Issue: 37(6)

Published: Nov. 1, 2024

ABSTRACT All the time delayed dynamical system plays a vital role in describing phenomenon of neural networks. In current article, we study class 5D bidirectional associative memory (BAM) networks that conform to objective reality. First all, prove solution BAM exists and is unique by virtue fixed point theorem some inequality techniques. Secondly, Hopf bifurcation stability are investigated exploiting criterion theory. Once more, control strategy explored two different hybrid controllers. By adjusting parameters controllers, can domain onset. Eventually, correctness theoretical results was verified through numerical simulations. The conclusions obtained this paper new have important value network area.

Language: Английский

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Exploring the impact of Brownian motion on novel closed-form solutions of the extended Kairat-II equation

PLoS ONE, Journal Year: 2025, Volume and Issue: 20(1), P. e0314849 - e0314849

Published: Jan. 16, 2025

This work considers a stochastic form of an extended version the Kairat-II equation by adding Browning motion into deterministic equation. Two analytical approaches are utilized to derive solutions modified The first method is Tanh technique linked with Riccati equation, which implemented extract some closed-form in tangent and cotangent functions. second Sardar sub-equation (SSEM) used attain several trigonometric hyperbolic Solutions selected randomly from large families suggested techniques visualized 3D 2D scenarios. From simulations intriguing observation made: generated through tanh exhibit singular nature, hybrid waves among them. On contrary this, derived SSEM, tend be mostly non-singular nature. varying influence noise intensity revealed that high amplitude energy regions more vulnerable induced as compared lower regions, relatively robust. study introduces novel incorporating Brownian providing new insights behavior integrable systems have not been previously explored.

Language: Английский

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Spatiotemporal dynamics of a novel hybrid modified ABC fractional monkeypox virus involving environmental disturbance and their stability analysis

Ain Shams Engineering Journal, Journal Year: 2025, Volume and Issue: 16(2), P. 103273 - 103273

Published: Jan. 27, 2025

Language: Английский

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Bifurcation analysis of a non linear 6D financial system with three time delay feedback

Chaos Solitons & Fractals, Journal Year: 2025, Volume and Issue: 194, P. 116248 - 116248

Published: March 13, 2025

Language: Английский

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Dynamical Analysis of Breast Cancer Progression with Noise Effects and Impulsive Therapeutic Interventions

Advanced Theory and Simulations, Journal Year: 2025, Volume and Issue: unknown

Published: March 12, 2025

Abstract Breast cancer remains one of the most prevalent cancers globally and is a leading cause cancer‐related mortality in women. This study investigates dynamics interactions among healthy, immune cells through an impulsive model incorporating chemotherapy immunotherapy's effects, under influence stochastic perturbations. The combined effects periodic treatments variations are analyzed, offering valuable insights into disease progression therapeutic strategies. constructed using three auxiliary equations to establish existence, positivity, uniqueness solutions. global stability system's solutions demonstrated construction Lyapunov function, while boundedness solution's expectation verified comparison theorem for equations. Criteria extinction non‐persistence healthy cells, populations derived, along with conditions weak persistence cells. Numerical simulations conducted support theoretical findings, highlighting biological implications results.

Language: Английский

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A novel fractal fractional mathematical model for HIV/AIDS transmission stability and sensitivity with numerical analysis

Scientific Reports, Journal Year: 2025, Volume and Issue: 15(1)

Published: March 18, 2025

Understanding the complex dynamics of HIV/AIDS transmission requires models that capture real-world progression and intervention impacts. This study introduces an innovative mathematical framework using fractal-fractional calculus to analyze dynamics, emphasizing memory effects nonlocal interactions critical disease spread. By dividing populations into four distinct compartments-susceptible individuals, infected those undergoing treatment, individuals in advanced AIDS stages-the model reflects key phases infection therapeutic interventions. Unlike conventional approaches, proposed nonlinear function, $$\frac{\nabla (\mathscr {I}+\alpha _1\mathscr {T}+\alpha _2\mathscr {A})}{\mathscr {N}}$$ , accounts for varying infectivity levels across stages (where $$\mathscr {N}$$ is total population $$\nabla$$ denotes effective contact rate), offering a nuanced view how treatment efficacy ( $$\alpha _1$$ ) _2$$ shape transmission. The analytical combines rigorous exploration with practical insights. We derive basic reproduction number {R}_0$$ assess outbreak potential employ Lyapunov theory establish global stability conditions. Using Schauder fixed-point theorem, we prove existence uniqueness solutions, while bifurcation analysis via center manifold reveals thresholds persistence or elimination. use computational scheme Adams-Bashforth method interpolation-based correction technique ensure numerical precision confirm theoretical results. Sensitivity highlights medication accessibility delaying spread as vital control strategy by identifying parameters. simulations illustrate predictive ability model, which shows order affects trajectories long-term burden. outperforms integer produces more accurate epidemiological predictions integrating memory-dependent fractional flexibility. These findings demonstrate model's value developing targeted public health initiatives, particularly environments limited resources where monitoring balancing allocation essential. In end, our work provides tool better predict manage evolving challenges bridging gap between mathematics actual control.

Language: Английский

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Investigating analytical and numerical techniques for the $$(2+1) {\mathfrak {q}}$$-deformed equation

Zeitschrift für angewandte Mathematik und Physik, Journal Year: 2024, Volume and Issue: 75(5)

Published: Sept. 6, 2024

Language: Английский

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