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Vector Preference Annihilates Backward Bifurcation and Reduces Endemicity.

Rocio Caja Rivera1,2, Ignacio Barradas3

  • 1Department of Biological Sciences, University of Notre Dame, 100 Galvin Life Science Center, Notre Dame, IN, 46556, USA. rcajariv@nd.edu.

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Summary
This summary is machine-generated.

Vector feeding preference for disease carriers is crucial for disease spread. Increasing this preference can protect vectors and benefit hosts, as seen in leishmaniasis models.

Keywords:
Backward bifurcationCutaneous leishmaniasisFeeding preferenceGlobal sensitivity analysisVector-borne disease

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Area of Science:

  • Mathematical modeling
  • Epidemiology
  • Vector-borne diseases

Background:

  • Vector feeding preferences and host incubation periods are key factors in disease transmission dynamics.
  • Understanding these factors is essential for controlling vector-borne diseases.

Purpose of the Study:

  • To analyze a mathematical model incorporating vector feeding preference and host incubation.
  • To investigate the impact of vector feeding preference on disease endemicity and bifurcation phenomena.

Main Methods:

  • Development and analysis of a mathematical model for vector-borne diseases.
  • Theoretical and numerical analysis, including bifurcation diagrams.
  • Global sensitivity analysis using partial rank correlation coefficient.

Main Results:

  • Vector feeding preference significantly influences endemic equilibria and backward bifurcation when the basic reproduction number is less than one.
  • Increased vector feeding preference reduces backward bifurcation and diminishes host/vector endemic equilibria.
  • Sandfly feeding preference and mortality rate are key parameters affecting disease transmission.

Conclusions:

  • Vector feeding preference is a critical factor in disease dynamics, offering a potential self-protection mechanism for vectors that benefits hosts.
  • Mathematical modeling provides valuable insights into disease control strategies for vector-borne illnesses like leishmaniasis.