Mathematical analysis of transmission dynamics in vector-borne diseases via a generalized SEIR model.

Vector-borne diseases continue to impose a substantial burden on public health systems worldwide, largely due to the complex interaction between human hosts and mosquito vectors. In this paper, a generalized SEIR-type mathematical model is formulated to study the transmission dynamics of vector-born...

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Publicado en:Discover Public Health Vol. 23; no. 1; pp. 1 - 22
Autores principales: Mubarak, Saqib, Lone, Parveiz Nazir, Hussain, Asif
Formato: equations & formulas pictorial research tables/charts Journal Article
Publicado: Springer Nature 4/9/2026
Acceso en línea:Ver este registro en EBSCOhost
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      dt: 4/9/2026
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      pub: Springer Nature
      place: New York, New York
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        10.1186/s12982-026-01799-0
        192873664
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        atl: Mathematical analysis of transmission dynamics in vector-borne diseases via a generalized SEIR model.
      aug:
        au:
          Mubarak, Saqib
          Lone, Parveiz Nazir
          Hussain, Asif
        affil: https://ror.org/02kdtt649 Department of Mathematical Sciences, Islamic University of Science and Technology, 192122, Awantipora, Pulwama, J & K, India
      sug:
        subj:
          Vector Borne Diseases Transmission
          Mosquito-Borne Diseases Transmission
          Disease Transmission Analysis
          Models, Statistical
          Human
          India
          Larva
          Simulations
          Conceptual Framework
          Sensitivity and Specificity
          Reproduction
          Life Cycle
          Vector Borne Diseases Prevention and Control
          Public Health
      ab: Vector-borne diseases continue to impose a substantial burden on public health systems worldwide, largely due to the complex interaction between human hosts and mosquito vectors. In this paper, a generalized SEIR-type mathematical model is formulated to study the transmission dynamics of vector-borne diseases, with particular emphasis on mosquito-borne infections. The model incorporates four human compartments and five vector-related compartments, allowing for a detailed representation of disease transmission and vector population dynamics. Analytical results are obtained for the equilibrium points of the system and the basic reproduction number is derived to determine threshold conditions for disease persistence or elimination. Stability properties of the disease-free and endemic equilibria are investigated using standard methods from dynamical systems theory. Numerical simulations, performed using the fourth-order Runge–Kutta method and implemented in Wolfram Mathematica, illustrate the influence of personal protection, larvicidal, and adulticidal control measures on disease spread. The simulation results show qualitative agreement with previously reported data, supporting the relevance of the proposed model for understanding transmission patterns and evaluating vector control strategies.
      pubtype: Academic Journal
      doctype:
        equations & formulas
        pictorial
        research
        tables/charts
        Journal Article
      ougenre: Article
    language: English
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