• Title/Summary/Keyword: next generation matrix and stability analysis

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AN SEIR ENDEMIC MODEL FOR MONKEYPOX SPREAD IN UNITED STATES

  • S. SHALINI PRIYA;K. GANESAN
    • Journal of applied mathematics & informatics
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    • v.41 no.5
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    • pp.1017-1035
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    • 2023
  • In this paper, we construct a monkeypox model which is similar to smallpox infection. It is caused by a monkeypox virus which is related to Poxviridae family. It will occur mostly in West African communities and in remote Central. We develop a system of differential equations for an SEIR (Suspected, Exposed, Infected and Recovered) model and analyze the outbreak of monkeypox disease and its effect on United States(US) population. We establish theorems on asymptotical stability conditions for endemic equilibrium and disease-free equilibrium. The basic reproduction number R0 has been determined using next generation matrix. We expect that this study will be effective at controlling monkeypox spread in United States. Our goal is to see whether monkeypox can be controlled and destroyed by smallpox vaccination. We find that monkeypox is controllable and can be fully destroyed in disease free state by vaccination. However, in the endemic state, monkeypox cannot be destroyed by vaccination alone.

Characteristics of Composite Electrolyte with Graphene Quantum Dot for All-Solid-State Lithium Batteries (이종 계면저항 저감 구조를 적용한 그래핀 양자점 기반의 고체 전해질 특성)

  • Hwang, Sung Won
    • Journal of the Semiconductor & Display Technology
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    • v.21 no.3
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    • pp.114-118
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    • 2022
  • The stabilized all-solid-state battery structure indicate a fundamental alternative to the development of next-generation energy storage devices. Existing liquid electrolyte structures severely limit battery stability, creating safety concerns due to the growth of Li dendrites during rapid charge/discharge cycles. In this study, a low-dimensional graphene quantum dot layer structure was applied to demonstrate stable operating characteristics based on Li+ ion conductivity and excellent electrochemical performance. Transmission electron microscopy analysis was performed to elucidate the microstructure at the interface. The low-dimensional structure of GQD-based solid electrolytes has provided an important strategy for stable scalable solid-state lithium battery applications at room temperature. This study indicates that the low-dimensional carbon structure of Li-GQDs can be an effective approach for the stabilization of solid-state Li matrix architectures.