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A nonlinear epidemiological model considering asymptotic and quarantine classes for SARS CoV-2 virus

Mishra A.M. Department of Mathematics, Prof. Rajendra Singh (Rajju Bhaiya) Institute of Physical Sciences for Study and Research VBSPU, Jaunpur, 222003, India|
Sharma Y.D. Department of Mathematical Sciences, Federal University of Technology, Akure, Ondo State, Nigeria| Owolabi K.M. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam| Purohit S.D. Department of HEAS (Mathematics), Rajasthan Technical University, Kota, 324010, India|

Chaos, Solitons and Fractals Số , năm 2020 (Tập 138, trang -)

DOI: 10.1016/j.chaos.2020.109953

Tài liệu thuộc danh mục: ISI, Scopus

English

English

Từ khóa: Cell proliferation; Sensitivity analysis; Transmissions; Viruses; Epidemiological modeling; Exposed to; Global stability; Lyapunov's functions; Reproduction numbers; Transmission rates; Diseases
Tóm tắt tiếng anh
In this article, we develop a mathematical model considering susceptible, exposed, infected, asymptotic, quarantine/isolation and recovered classes as in case of COVID-19 disease. The facility of quarantine/isolation have been provided to both exposed and infected classes. Asymptotic individuals either recovered without undergo treatment or moved to infected class after some duration. We have formulated the reproduction number for the proposed model. Elasticity and sensitivity analysis indicates that model is more sensitive towards the transmission rate from exposed to infected classes rather than transmission rate from susceptible to exposed class. Analysis of global stability for the proposed model is studied through Lyapunov's function. � 2020 Elsevier Ltd

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