Modeling Rabies Dynamics: The Impact of Vaccination and Infectious Immigrants on Public Health DOI Creative Commons
H. M. Younas,

Imtiaz Ahmad,

Nigar Ali

et al.

Contemporary Mathematics, Journal Year: 2024, Volume and Issue: unknown, P. 3255 - 3279

Published: Aug. 15, 2024

Public health is still seriously threatened by rabies in many parts of the world, particularly poorer nations. In order to address this issue, work suggests an equation describing mechanisms transmission between animals, taking into account infectious immigrants and vaccination as possible preventive measures. The next-generation matrix (NGM) Method method was used calculate effective reproduction number (R0). Using Routh-Hurwitz Criterion, a disease-free equilibrium point (DFE) discovered It demonstrated have local asymptotic stability if (R0 < 1), unstable every other case. Additionally, DFE be quadratic Lyapunov stable globally asymptotically stable. model parameters’ sensitivity analysis on (R0) carried out using central manifold theory for bifurcation analysis, analysis’s normalized forward index method. MATLAB software utilized do numerical simulation analysis. findings simulated data showed that higher rate fewer would slow development decline, shown visually.

Language: Английский

Deciphering the enigma of Lassa virus transmission dynamics and strategies for effective epidemic control through awareness campaigns and rodenticides DOI Creative Commons
Haneen Hamam, Yasir Ramzan,

Shafiullah Niazai

et al.

Scientific Reports, Journal Year: 2024, Volume and Issue: 14(1)

Published: Aug. 5, 2024

This study aims to formulate a mathematical framework examine how the Lassa virus spreads in humans of opposite genders. The stability model is analyzed at an equilibrium point absence fever. model's effectiveness evaluated using real-life data, and all parameters needed determine basic reproduction number are estimated. Sensitivity analysis performed pinpoint crucial significantly influencing spread infection. interaction between threshold simulated. Control theory employed devise evaluate strategies, such as awareness campaigns, advocating condom usage, deploying rodenticides reduce possibility transmission efficiently.

Language: Английский

Citations

4
Analyzing the Dynamics of Cleaners Behavior in the Community for a Germ-Free Village Initiative DOI
Haneen Hamam,

Muhammad Naeem Khizar,

Abdul Raheem

et al.

Punjab University Journal of Mathematics, Journal Year: 2025, Volume and Issue: unknown, P. 480 - 494

Published: March 25, 2025

A mathematical model has been developed and analyzed along with a flowchart for cleaners in the community. The entire population is partitioned into Latent, candidate, passive, active, non-cleaners. analysis examines how cleanliness present equilibrium achieves local global asymptotic stability when cleaning reproductive number exceeds one. It verified using Routh-Hurwitz criteria that positive, unique stability. By graph-theoretic approach, it also proved exhibits Parameter estimation carried out to determine numerical value of number. sensitivity being conducted identify factors discourage individuals from maintaining contribute creating an infectious environment. Further, dynamics cleaner behavior community are analyzed, providing valuable insights evidence-based policies interventions promoting clean healthier

Language: Английский

Citations

0
Analysis and interpretation of a novel malaria transmission mathematical model with socioeconomic structure DOI
Muhammad Asad Ullah, Nauman Raza, Mohammad Y. Alshahrani

et al.

Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown

Published: Dec. 26, 2024

Language: Английский

Citations

2
A Mathematical Lens on the Zoonotic Transmission of Lassa Virus Infections Leading to Disabilities in Severe Cases DOI Creative Commons
Yasir Ramzan, Hanadi Alzubadi, Aziz Ullah Awan

et al.

Mathematical and Computational Applications, Journal Year: 2024, Volume and Issue: 29(6), P. 102 - 102

Published: Nov. 7, 2024

This study aims to analyze the dynamics of Lassa fever transmission and its impact on brain spinal cord then devise preventive actions. The stability infection-free equilibrium point is evaluated; model’s precision examined using empirical data; all parameters are estimated fitted. Subsequently, basic reproductive number determined, subpopulation trends observed over time. Sensitivity analysis conducted identify critical drivers influencing dynamics. Two-dimensional plots visualize crucial number. Through a comprehensive literature review case analysis, an association between various disabilities established, including conditions such as encephalitis, hearing loss, ataxia, neuropsychiatric manifestations, meningitis, seizures, coma. Solutions devised analyzed enhance early detection, treatment, mitigation disease.

Language: Английский

Citations

1
Modeling Rabies Dynamics: The Impact of Vaccination and Infectious Immigrants on Public Health DOI Creative Commons
H. M. Younas,

Imtiaz Ahmad,

Nigar Ali

et al.

Contemporary Mathematics, Journal Year: 2024, Volume and Issue: unknown, P. 3255 - 3279

Published: Aug. 15, 2024

Public health is still seriously threatened by rabies in many parts of the world, particularly poorer nations. In order to address this issue, work suggests an equation describing mechanisms transmission between animals, taking into account infectious immigrants and vaccination as possible preventive measures. The next-generation matrix (NGM) Method method was used calculate effective reproduction number (R0). Using Routh-Hurwitz Criterion, a disease-free equilibrium point (DFE) discovered It demonstrated have local asymptotic stability if (R0 < 1), unstable every other case. Additionally, DFE be quadratic Lyapunov stable globally asymptotically stable. model parameters’ sensitivity analysis on (R0) carried out using central manifold theory for bifurcation analysis, analysis’s normalized forward index method. MATLAB software utilized do numerical simulation analysis. findings simulated data showed that higher rate fewer would slow development decline, shown visually.

Language: Английский

Citations

0