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Updated: Apr 1, 2026
04:23
A Murine Model of Dengue Virus-induced Acute Viral Encephalitis-like Disease
Published on: April 28, 2019
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Stability in a Two-Strain Dengue Model with a Constant Recruitment
Joanna RencÅ Awowicz1, Marcin ChoiÅ Ski2, Urszula Skwara3
1Military University of Technology, Warsaw, Poland.
Nonlinear Dynamics, Psychology, and Life Sciences
|March 31, 2026
Summary
This study presents a two-strain dengue model analyzing human and mosquito interactions, including reinfection and vertical transmission. The model confirms disease-free and endemic equilibria, even with a fluctuating mosquito population.
Area of Science:
- Mathematical modeling
- Epidemiology
- Vector-borne diseases
Background:
- Dengue fever is a significant global health concern.
- Understanding dengue transmission dynamics is crucial for control.
- Existing models often simplify population dynamics.
Purpose of the Study:
- To develop and analyze a mathematical model for two-strain dengue transmission.
- To investigate the impact of reinfection and vertical transmission.
- To determine disease equilibria and stability.
Main Methods:
- Development of a compartmental mathematical model.
- Analysis of local stability for disease-free and endemic equilibria.
- Numerical simulations using realistic dengue parameters.
Main Results:
- The model demonstrates the local stability of the disease-free equilibrium.
- Existence and local stability of single-strain endemic equilibria are shown.
- Existence of two-strain stationary states is established, despite non-constant mosquito population size.
Conclusions:
- The developed dengue model provides insights into complex transmission dynamics.
- The findings highlight the importance of considering reinfection and vertical transmission.
- The model's stability analysis offers a foundation for further epidemiological research.
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