Scholarlink

<p>Monkeypox, an emerging zoonotic disease, raises significant public health concerns. A new nonlinear ordinary differential equation model has been developed which includes three important elements related to vaccination programs and environmental contamination and vertical transmission. The mathematical framework incorporates three human populations consisting of susceptible, infected individuals and individuals who recovered from infection. These groups exist with rodents and environmental reservoirs. The next-generation matrix method revealed basic model properties including the basic reproduction number while sensitivity analysis was conducted. Furthermore, the model included an invariant area which validated its biological viability by the use of Atangana–Baleanu–Caputo fractional derivatives. Fixed-point theory together with Lipschitz conditions establishes both stability and uniqueness and positivity properties. The Laplace Adomian Decomposition Method (LADM) produces numerical solutions through the process. The research findings show that joint treatment involving vaccinations and environmental controls produces effective outbreak reduction creating useful. The model improves its accuracy through memory effect representation made possible knowledge for disease control strategies.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Effect of vertical transmission and environmental contamination on nonlinear fractional order model of monkeypox incorporating vaccination using Atangana Baleanu Caputo derivative

  • 期刊论文

  • 发表日期：

    2025年7月4日

查看全文
  • Morufu Oyedunsi Olayiwola,
  • John Olajide Akanni,
  • Ismaila Adebayo Alaje,
  • Adamu Gambo,
  • Akeem Olarewaju Yunus

摘要

Monkeypox, an emerging zoonotic disease, raises significant public health concerns. A new nonlinear ordinary differential equation model has been developed which includes three important elements related to vaccination programs and environmental contamination and vertical transmission. The mathematical framework incorporates three human populations consisting of susceptible, infected individuals and individuals who recovered from infection. These groups exist with rodents and environmental reservoirs. The next-generation matrix method revealed basic model properties including the basic reproduction number while sensitivity analysis was conducted. Furthermore, the model included an invariant area which validated its biological viability by the use of Atangana–Baleanu–Caputo fractional derivatives. Fixed-point theory together with Lipschitz conditions establishes both stability and uniqueness and positivity properties. The Laplace Adomian Decomposition Method (LADM) produces numerical solutions through the process. The research findings show that joint treatment involving vaccinations and environmental controls produces effective outbreak reduction creating useful. The model improves its accuracy through memory effect representation made possible knowledge for disease control strategies.