A MATHEMATICAL INVESTIGATION OF SBIRS MODEL FOR MANAGING TYPHOID AND CHOLERA CO-INFECTION    

Authors : KRISHNA GOPAL VARSHNEY; YOGENDRA KUMAR DWIVEDI

Publishing Date : 2024

DOI : https://doi.org/10.52458/9788197112492.nsp.2024.eb.ch-09

ISBN : 978-81-977620-7-9

Pages : 90 -105

Chapter id : RBS/NSP/EB/RAASTTSE/2024/Ch-09

Abstract : Typhoid and cholera transmission dynamics were studied by employing a mathematical model with optimal control strategies. Using a deterministic compartmental model, the impact of different forms of regulation was assessed and contrasted. Using the next-generation matrix, we can calculate the fitness of the virus, which serves as a measure of the epidemic's severity. Both a disease-free stable state, in which no populations are infected with typhoid and cholera, and an endemic condition, in which a co-infected population exists and is capable of transmitting the disease, are demonstrated to exist by our work. Furthermore, we have demonstrated the local stability criteria of the disease-free equilibrium points. Finally, the model was numerically simulated, and the results show that prevention has a major impact on lowering the spread of the co-infection, and that using all available control methods can successfully eradicate typhoid and cholera co-infection from the population.

Keywords : SBIRS Model, Typhoid, Cholera, Co-Infection, Mathematical Investigation

Cite : Varshney, K. G., & Dwivedi, Y. K. (2024). A Mathematical Investigation Of Sbirs Model For Managing Typhoid And Cholera Co-Infection (1st ed., pp. 90-105). Noble Science Press. https://doi.org/10.52458/9788197112492.nsp.2024.eb.ch-09

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