A. Karthik - Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai 600127, India. M. Ghosh - Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai 600127, India.
Since 1998, the Nipah virus disease, a deadly zoonotic disease that affects both humans and nonhuman primates, has erupted numerous times in various areas. In this study, we develop a Nipah virus (NiV) transmission model to explore how the Nipah virus spreads through both direct and indirect transmission from bats to humans and among human populations. The main objective of this study is to assess the impact of hospitalization protocols and control measures on minimizing infection within the human population. After calculating the equilibrium points and the basic reproduction number, we look at the local stability of the equilibrium points. We perform sensitivity analysis to scrutinize the impact of the model parameters on the basic reproduction number. Finally, this study extends to incorporate optimal control theory. Proposed control strategies encompass the culling of bats, reduction of human-to-human transmission, and augmentation of treatment protocols and testing infrastructure. Implementing these control measures results in a significant decrease in disease propagation.
A. Karthik, M. Ghosh, Mathematical modeling of Nipah virus disease with optimal intervention strategies, Journal of Mathematics and Computer Science, 42 (2026), no. 1, 43--63
Karthik A., Ghosh M., Mathematical modeling of Nipah virus disease with optimal intervention strategies. J Math Comput SCI-JM. (2026); 42(1):43--63
Karthik, A., Ghosh, M.. "Mathematical modeling of Nipah virus disease with optimal intervention strategies." Journal of Mathematics and Computer Science, 42, no. 1 (2026): 43--63
