Alexandria Engineering Journal, Journal Year: 2025, Volume and Issue: 118, P. 435 - 448
Published: Jan. 24, 2025
Language: Английский
Mathematical Biosciences & Engineering, Journal Year: 2025, Volume and Issue: 22(2), P. 225 - 259
Published: Jan. 1, 2025
<p>During the 2022 monkeypox (Mpox) outbreak in non-endemic countries, sexual transmission was identified as dominant mode of transmission, and particularly affected community men who have sex with (MSM). This experienced highest incidence Mpox cases, exacerbating public health burden they already face due to disproportionate impact HIV. Given simultaneous spread HIV within MSM community, it is crucial understand how these diseases interact. Specifically, since endemic this population, understanding its influence on control essential. In study, we analyze a mechanistic mathematical model explore potential dynamics community. The considered work incorporates two diseases, including antiretroviral therapy (ART) for We assumed that population at onset outbreak. Through our analysis, derived invasion reproduction number an HIV-endemic setting established existence local asymptotic stability Mpox-free equilibrium under conditions. Furthermore, demonstrated Mpox-endemic regime. Notably, findings revealed exhibits backward bifurcation, phenomenon may not occurred absence population. significance results presence could hinder efforts Mpox, allowing disease become even when below one. Additionally, found might be more challenging scenarios where increases susceptibility Mpox. Finally, consistent previous studies, analysis confirms reducing contact can effective controlling community.</p>
Language: Английский
Citations
2
Alexandria Engineering Journal, Journal Year: 2025, Volume and Issue: 122, P. 77 - 90
Published: March 12, 2025
Language: Английский
Citations
2
The European Physical Journal Plus, Journal Year: 2023, Volume and Issue: 138(11)
Published: Nov. 30, 2023
Language: Английский
Citations
24
Results in Physics, Journal Year: 2023, Volume and Issue: 54, P. 107133 - 107133
Published: Nov. 1, 2023
This study introduces an analysis of bifurcations, chaotic dynamics, and sensitivity using the Galilean transformation applied to perturbed non-linear Schrödinger equation (NLSE) with Kerr-law nonlinearity. Additionally, we employ efficient Sardar sub-equation (Sse) method derive various optical soliton solutions. Initially, outline general framework Sse proposed. Next, utilize a traveling wave transform on NLSE, transforming it into system nonlinear ordinary differential equations (NLODEs) which are further separated their real imaginary components. Furthermore, apply this new solitons for NLSE Kerr law. We perform exact analytical simulations these solutions investigate effects different parameters waves.
Language: Английский
Citations
23
Scientific Reports, Journal Year: 2024, Volume and Issue: 14(1)
Published: Jan. 10, 2024
Abstract Over the course of history global population has witnessed deterioration unprecedented scale caused by infectious transmission. The necessity to mitigate flow requires launch a well-directed and inclusive set efforts. Motivated urge for continuous improvement in existing schemes, this article aims at encapsulation dynamics spread diseases. objectives are served disease model. Moreover, an optimal control strategy is introduced ensure incorporation most feasible health interventions reduce number infected individuals. outcomes research facilitated stratifying into five compartments that susceptible class, acute chronic recovered vaccinated class. formulated incorporating specific variables namely, awareness about medication, isolation, ventilation, vaccination rates, quarantine level. developed model validated proving pivotal delicacies such as positivity, invariant region, reproduction number, stability, sensitivity analysis. legitimacy proposed delineated through detailed analysis along with documentation local features comprehensive manner. maximum index parameters transmission people moved from stages whose value (0.439, 1) increase parameter 10 percent would threshold quantity (4.39, 1). Under condition stable system, we inverse relationship between class time. assist gain fundamental aim research, take time-dependent obtain minimize populations maximize population, simultaneously. attained employment Pontryagin principle. Furthermore, efficacy usual quarantine, face mask usage, hand sanitation also noticed. effectiveness suggested plan explained using numerical evaluation. advantages new highlighted article.
Language: Английский
Citations
11
The European Physical Journal Plus, Journal Year: 2023, Volume and Issue: 138(10)
Published: Oct. 14, 2023
Language: Английский
Citations
22
Mathematical and Computational Applications, Journal Year: 2023, Volume and Issue: 28(5), P. 98 - 98
Published: Sept. 30, 2023
The Middle East respiratory syndrome coronavirus (MERS-CoV) is a highly infectious illness that poses significant threat to public health. Understanding the transmission dynamics of MERS-CoV crucial for effective control and prevention strategies. In this study, we develop precise mathematical model capture MERS-CoV. We incorporate some novel parameters related birth mortality rates, which are essential factors influencing spread virus. obtain epidemiological data from reliable sources estimate parameters. compute its basic reproduction number (R0). Stability theory employed analyze local global properties model, providing insights into system’s equilibrium states their stability. Sensitivity analysis conducted identify most critical parameter affecting dynamics. Our findings revealed important stability demonstrated existence stable points, indicating long-term behavior epidemic. Through evaluation optimal strategies, intervention measures mitigate simulations demonstrate impact time-dependent variables, such as supportive care treatment, in reducing infected individuals controlling can serve valuable tool health authorities designing ultimately burden on
Language: Английский
Citations
20
PLoS ONE, Journal Year: 2024, Volume and Issue: 19(4), P. e0298620 - e0298620
Published: April 16, 2024
In this manuscript, we developed a nonlinear fractional order Ebola virus with novel piecewise hybrid technique to observe the dynamical transmission having eight compartments. The existence and uniqueness of solution derivative is treated for system Arzel’a-Ascoli Schauder conditions. We investigate effects classical modified calculus operators, specifically Caputo operator, on behavior model. A model shows that completely continuous operator uniformly continuous, bounded according equilibrium points. reproductive number R 0 derived biological feasibility sensitivity analysis different parameters impact Sensitivity an essential tool comprehending how various affect spread illness. Through methodical manipulation important assessment their o , are able learn more about resiliency susceptibility Local stability established next Matignon method global conducted Lyapunov function feasible proposed end, numerical Newton’s polynomial through simulations compartments at orders by using real data. Our findings highlight importance operators in enhancing accuracy capturing intricate dynamics disease. This research contributes deeper understanding provides valuable insights improving disease modeling public health strategies.
Language: Английский
Citations
7
Optical and Quantum Electronics, Journal Year: 2024, Volume and Issue: 56(5)
Published: March 16, 2024
Language: Английский
Citations
6
The European Physical Journal Plus, Journal Year: 2023, Volume and Issue: 138(12)
Published: Dec. 17, 2023
Language: Английский
Citations
12