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- W4381569758 abstract "Abstract In this study, a vector-borne epidemic model with multi-edge infection on complex networks is built. Using the method of next-generation matrix, the basic reproduction number <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mrow> <m:mi>R</m:mi> </m:mrow> <m:mrow> <m:mn>0</m:mn> </m:mrow> </m:msub> </m:math> {R}_{0} is calculated, and if <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mrow> <m:mi>R</m:mi> </m:mrow> <m:mrow> <m:mn>0</m:mn> </m:mrow> </m:msub> <m:mo><</m:mo> <m:mn>1</m:mn> </m:math> {R}_{0}lt 1 , the disease-free equilibrium <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mrow> <m:mi>E</m:mi> </m:mrow> <m:mrow> <m:mn>0</m:mn> </m:mrow> </m:msub> </m:math> {E}_{0} is globally asymptotically stable; if <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mrow> <m:mi>R</m:mi> </m:mrow> <m:mrow> <m:mn>0</m:mn> </m:mrow> </m:msub> <m:mo>></m:mo> <m:mn>1</m:mn> </m:math> {R}_{0}gt 1 , there exists a unique endemic equilibrium <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msup> <m:mrow> <m:mi>i</m:mi> </m:mrow> <m:mrow> <m:mo>∗</m:mo> </m:mrow> </m:msup> <m:mo>=</m:mo> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:msubsup> <m:mrow> <m:mi>i</m:mi> </m:mrow> <m:mrow> <m:mn>1</m:mn> </m:mrow> <m:mrow> <m:mo>∗</m:mo> </m:mrow> </m:msubsup> <m:mo>,</m:mo> <m:msubsup> <m:mrow> <m:mi>i</m:mi> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> <m:mrow> <m:mo>∗</m:mo> </m:mrow> </m:msubsup> <m:mo>,</m:mo> <m:mrow> <m:mo>…</m:mo> </m:mrow> <m:mo>,</m:mo> <m:msubsup> <m:mrow> <m:mi>i</m:mi> </m:mrow> <m:mrow> <m:mi>n</m:mi> </m:mrow> <m:mrow> <m:mo>∗</m:mo> </m:mrow> </m:msubsup> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:math> {i}^{ast }=left({i}_{1}^{ast },{i}_{2}^{ast },ldots ,{i}_{n}^{ast }) that is globally attractive. Moreover, three control strategies are proposed to control the spread of infectious diseases. Finally, some numerical simulations are given to illustrate our theoretical results." @default.
- W4381569758 created "2023-06-22" @default.
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- W4381569758 date "2023-01-01" @default.
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- W4381569758 title "Global analysis and control for a vector-borne epidemic model with multi-edge infection on complex networks" @default.
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- W4381569758 doi "https://doi.org/10.1515/math-2022-0580" @default.
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