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Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment
Yan Cheng1, Xiaoyun Wang1, Qiuhui Pan2
1School of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
Computational and Mathematical Methods in Medicine
|March 11, 2017
Summary
This study models mosquito-borne parasitic infections, finding that a basic reproduction number (R0) below 1 eliminates disease. When R0 exceeds 1, the infection persists, informing control strategies for diseases like lymphatic filariasis.
Area of Science:
- Mathematical epidemiology
- Parasitic disease modeling
- Vector-borne disease dynamics
Background:
- Mosquito-borne parasitic infections pose significant global health challenges.
- Understanding disease dynamics in periodic environments is crucial for effective control.
Purpose of the Study:
- To analyze a mathematical model of mosquito-borne parasitic infection in a periodically varying environment.
- To determine the threshold parameter (R0) governing disease persistence and eradication.
Main Methods:
- Development of a mathematical model incorporating periodic environmental factors.
- Calculation of the basic reproduction number (R0) using a linear next infection operator.
- Analysis of system dynamics using the Poincaré map.
Main Results:
- The disease-free periodic solution is globally asymptotically stable when R0 < 1.
- The disease is uniformly persistent when R0 > 1.
- Numerical simulations validated the theoretical findings.
Conclusions:
- The basic reproduction number (R0) is a critical determinant of disease persistence.
- Sensitivity analysis highlights key parameters influencing R0, guiding intervention strategies.
- Findings provide a reference for controlling lymphatic filariasis transmission.
