Open Access
Research Article
Dynamical Study of a Vector Host Epidemic Model With Non-Monotone Incidence
*Seema RautCorresponding authorsrseema.28@gmail.comDepartment of Applied Mathematics, G. H. Raisoni. Institute of Engineering & TechnologySchool of Sciences G. H. Raisoni UniversityAmravati, Maharashtra, 444701, IndiaView full profile → , Sujatha Janardhansujata_jana@yahoo.comDepartment of Mathematics, St. Francis De Sales CollegeNagpur, Maharashtra, IndiaView full profile → , Ganesh Khekarekhekare.123@gmail.comDepartment of Information Technology, G.H. Raisoni College of EngineeringNagpur, Maharashtra, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Jun 2020
- Accepted:
- 29 Dec 2020
- Published Online:
- 02 Jan 2021
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- 1726037X.2021.1945724
- Pages:
- 77–94
Abstract
Epidemics of vector borne disease studied in this paper when disease incidence rate is non- monotone. Non monotonic behaviors of infected hosts as well as infected vectors are studied for influence of increase in disease on susceptible host population and effect of repellents and insecticides on vectors, respectively. Suitable Liapunov functions are constructed to discuss the global asymptotic stabilities at the equilibrium points. Results are verified by conducting numerical simulation. Mechanism of disease spread by vectors and hosts during the epidemic can be better understood with the help of this model.
Keywords
Subject Classifications
92B0593C15
References
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