A mathematical analysis of Zika virus transmission with optimal control strategies

DOI10.22034/CMDE.2019.34715.1585zbMath1474.34307OpenAlexW3013776697MaRDI QIDQ4993674

B. Shanmukha, Naba Kumar Goswami

Publication date: 16 June 2021

Full work available at URL: https://cmde.tabrizu.ac.ir/article_10320_eb4f5874a72b022ac83e9fd94c85605c.pdf

zbMATH Keywords

optimal controlstability analysissensitivity analysisbifurcationbasic reproduction numberZika virus

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)

Cites Work

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• Causes of backward bifurcations in some epidemiological models
• Backward bifurcations in dengue transmission dynamics
• Mathematical analysis of the role of repeated exposure on malaria transmission dynamics
• Dynamical models of tuberculosis and their applications
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Assessing the impact of treatment on the dynamics of dengue fever: a case study of India
• A graph-theoretic approach to the method of global Lyapunov functions

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