Scholarlink

<p>To assess the effects of spatial heterogeneity and individual dispersal on the propagation dynamics of vector-borne illnesses, we introduce a reaction-diffusion model that incorporates partially degenerate and general incidence rates. This model accounts for both human-human interactions (sexual transmission) and human-mosquito interactions (bite transmission). The basic reproduction number, denoted as <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="script">R</mi> <mn>0</mn> </msub> </math></EquationSource> <EquationSource Format="TEX">$\mathcal{R}_{0}$</EquationSource> </InlineEquation>, is calculated for our model, and the global dynamics are analyzed in relation to this threshold. Specifically, by examining the asymptotic behavior of <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="script">R</mi> <mn>0</mn> </msub> </math></EquationSource> <EquationSource Format="TEX">$\mathcal{R}_{0}$</EquationSource> </InlineEquation> and positive steady states, we elucidate the role of diffusivity in disease transmission. By numerically applying this model to the transmission of Zika virus, one has identified several novel insights that serve as a foundation for developing more nuanced and responsive public health policies.</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

Dynamics and asymptotic properties of vector-borne disease model with partially degenerate and general incidence in heterogeneous environment

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年4月29日

查看全文
  • Shengfu Wang,
  • Linfei Nie

摘要

To assess the effects of spatial heterogeneity and individual dispersal on the propagation dynamics of vector-borne illnesses, we introduce a reaction-diffusion model that incorporates partially degenerate and general incidence rates. This model accounts for both human-human interactions (sexual transmission) and human-mosquito interactions (bite transmission). The basic reproduction number, denoted as R 0 $\mathcal{R}_{0}$ , is calculated for our model, and the global dynamics are analyzed in relation to this threshold. Specifically, by examining the asymptotic behavior of R 0 $\mathcal{R}_{0}$ and positive steady states, we elucidate the role of diffusivity in disease transmission. By numerically applying this model to the transmission of Zika virus, one has identified several novel insights that serve as a foundation for developing more nuanced and responsive public health policies.