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Vector-Borne Disease Models with Active and Inactive Vectors: A Simple Way to Consider Biting Behavior.

Mario Ignacio Simoy1,2, Juan Pablo Aparicio1,3

  • 1Instituto de Investigaciones en Energía no Convencional (INENCO), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Universidad Nacional de Salta, Av. Bolivia 5100, 4400, Salta, Argentina.

Bulletin of Mathematical Biology
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Summary
This summary is machine-generated.

This study refines vector-borne disease models by incorporating mosquito feeding behavior. Estimating the biting rate based on the basic reproduction number accurately reproduces disease dynamics, improving standard models.

Keywords:
Biting rateEpidemiologyRoss–Macdonald modelVector behaviorVector-borne disease

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Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Public Health

Background:

  • Vector-borne diseases pose significant public health challenges, with mosquitoes as primary vectors.
  • Standard Ross-Macdonald models often simplify mosquito biting behavior.
  • Incorporating realistic feeding patterns is crucial for accurate disease dynamics analysis.

Purpose of the Study:

  • To develop a vector-borne disease model that includes active and inactive mosquito vectors.
  • To estimate the Ross-Macdonald biting rate using feeding parameters that replicate the dynamics of the new model.
  • To improve the representation of mosquito feeding behavior in epidemiological models.

Main Methods:

  • A novel vector-borne disease model was developed, differentiating between active and inactive vectors.
  • Two epidemiological scenarios were analyzed: SIS-SI and SIR-SI models.
  • Various methods for estimating the biting rate in the Ross-Macdonald model were proposed and evaluated.
  • Epidemiological indicators were used to compare model outcomes.

Main Results:

  • Estimating the biting rate by matching the basic reproduction number between the standard and the new model yielded highly similar disease dynamics.
  • The proposed method effectively integrates detailed mosquito feeding behavior into established epidemiological models.
  • The model with active and inactive vectors provides a more nuanced representation of disease transmission.

Conclusions:

  • Matching the basic reproduction number is a robust method for estimating the biting rate in Ross-Macdonald models.
  • This approach enhances the biological realism of vector-borne disease modeling.
  • The findings offer a practical way to refine epidemiological predictions and public health strategies for mosquito-borne illnesses.