ArticleChaos, solitons, and fractals2020
Complex dynamics in susceptible-infected models for COVID-19 with multi-drug resistance.
Article in Chaos, solitons, and fractals, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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13 citing papers in PubMed.
- Information thinking: the transformation of complexity and scientific thinking.Frontiers in psychology · 2025Article
- Optimal time-dependent SUC model for COVID-19 pandemic in India.BMC infectious diseases · 2024Article
- Chaotic attractors that exist only in fractional-order case.Journal of advanced research · 2023Article
- Race, employment, and the pandemic: An exploration of covariate explanations of COVID-19 case fatality rate variance.PloS one · 2023Article
- The Chaotic Behavior of the Spread of Infection during the COVID-19 Pandemic in Japan.International journal of environmental research and public health · 2022Article
- Assessing personal exposure to COVID-19 transmission in public indoor spaces based on fine-grained trajectory data: A simulation study.Building and environment · 2022Article
- A fractional-order mathematical model for analyzing the pandemic trend of COVID-19.Mathematical methods in the applied sciences · 2022Article
- Complex Contact Network of Patients at the Beginning of an Epidemic Outbreak: An Analysis Based on 1218 COVID-19 Cases in China.International journal of environmental research and public health · 2022Article
- Mathematical modeling and optimal control of the COVID-19 dynamics.Results in physics · 2021Article
- An analytical study of the dynamic behavior of Lotka-Volterra based models of COVID-19.Results in physics · 2021Article
- The Chaotic Behavior of the Spread of Infection During the COVID-19 Pandemic in the United States and Globally.IEEE access : practical innovations, open solutions · 2021Article
- Systematic review on telemedicine platforms in lockdown periods: Lessons learned from the COVID-19 pandemic.Journal of education and health promotion · 2021Review
- Fractal and Entropy Analysis of the Dow Jones Index Using Multidimensional Scaling.Entropy (Basel, Switzerland) · 2020Article
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Abstract
Nowadays, exploring complex dynamic of epidemic models becomes a focal point for research after the outbreak of COVID-19 pandemic which has no vaccine or fully approved drug treatment up till now. Hence, complex dynamics in a susceptible-infected (SI) model for COVID-19 with multi-drug resistance (MDR) and its fractional-order counterpart are investigated. Existence of positive solution in fractional-order model is discussed. Local stability based on the fractional Routh-Hurwitz (FRH) conditions is considered. Also, new FRH conditions are introduced and proved for the fractional case (0,2]. All these FRH conditions are also applied to discuss local stability of the multi-drug resistance steady states. Chaotic attractors are also found in this model for both integer-order and fractional-order cases. Numerical tools such as Lyapunov exponents, Lyapunov spectrum and bifurcation diagrams are employed to confirm existence of these complex dynamics. This study helps to understand complex behaviors and predict spread of severe infectious diseases such as COVID-19.
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