A Mathematical Model of Logistic Human Population Growth and Vector Population for Dengue Transmission Dynamics

Document Type : Original Article

Authors

1 Department of Mathematics, Govt. Degree College Thannamandi, Rajouri, Jammu & Kashmir (India)

2 Department of Mathematics, Lovely Professional University, Phagwara, Punjab (India)

3 Department of Operations Research, Faculty of Physical Sciences, Modibbo Adama University, Yola (Nigeria)

Abstract

Both physical and mental health can be impacted by diseases, since a person’s outlook on life may change as a result of acquiring and managing a health condition. Understanding the dynamics of diseases can be greatly appreciated in dealing and maintening the endermic strategically. In this paper, a mathematical model based on the SEIR (Susceptible, Exposed, Infectious, Recovered) framework is presented for the dengue transmission dynamics. The mosquito population, which serves as the vector population and depends on the human population for subsistence, is represented in the model by a logistic function. To evaluate the model’s capacity for spreading disease, the fundamental reproduction number R0 is calculated. The disease-free equilibrium is determined to be locally stable if R0 is less than one and unstable if Ro is more significant than one. A stability analysis of the endemic and disease-free equilibria is carried out. The findings of this study offer insightful information about dengue transmission dynamics and can guide the development of effective strategies for disease control and prevention.

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