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A network model for control of dengue epidemic using sterile insect technique
Arti Mishra1, Benjamin Ambrosio2, Sunita Gakkhar1
1Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand 247667, India
Mathematical Biosciences and Engineering : MBE
|November 23, 2017
Summary
This study introduces a network model to control dengue transmission using sterile insect technique (SIT). SIT, by releasing sterilized male mosquitoes, can manage disease spread across multiple interconnected patches.
Area of Science:
- Epidemiology
- Mathematical Biology
- Vector-borne Disease Control
Background:
- Dengue fever poses a significant global health challenge, driven by complex host-vector dynamics.
- Existing control methods often struggle with spatial spread and sustained transmission across interconnected populations.
Purpose of the Study:
- To develop and analyze a mathematical network model for dengue transmission in multiple patches.
- To evaluate the efficacy of the sterile insect technique (SIT) for controlling dengue spread within and between patches.
Main Methods:
- A compartmental network model incorporating host-vector dynamics across 'n' patches was formulated.
- Analysis included computation of the basic reproduction number and assessment of state stability.
- Bifurcation diagrams were used to visualize disease-free and endemic states in isolated patches.
- The critical threshold for sterile male mosquitoes required for disease control was determined.
Main Results:
- The study determined the basic reproduction number for the multi-patch network model.
- Mathematical analysis confirmed the existence and stability of disease-free and endemic states.
- Numerical simulations demonstrated that SIT implementation in a single patch can effectively control dengue in a multi-patch network, provided suitable coupling exists.
Conclusions:
- The sterile insect technique (SIT) is a viable strategy for dengue control in networked environments.
- Targeted SIT application in one patch can lead to disease suppression across interconnected regions, highlighting the potential for efficient, localized interventions.
