A Mathematical Model of Logistic Human Population Growth and Vector Population for Dengue Transmission Dynamics | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 32, Issue 1, 2024, Pages 23-55 PDF (840.66 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/joems.2024.318412.1005 | ||
| Authors | ||
| Ather Aziz Raina* 1; Shoket Ali2; Preety Kalra2; Umar Muhammad Modibbo3 | ||
| 1Department of Mathematics, Govt. Degree College Thannamandi, Rajouri, Jammu & Kashmir (India) | ||
| 2Department of Mathematics, Lovely Professional University, Phagwara, Punjab (India) | ||
| 3Department 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. | ||
| Keywords | ||
| Transmission Dynamics; Dengue; Disease-free Equilibrium; Stability Analysis | ||
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