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Global attractivity of a nonlocal reaction-diffusion viral infection model

Yu Yang, Lan Zou, Cheng-Hsiung Hsu

Abstract: This paper is concerned with the global attractivity of a nonlocal reaction-diffusion viral infection model. By constructing suitable Lyapunov functionals, we show that the solutions of the model converge to a unique endemic equilibrium when the basic reproduction number is greater than one. The global attractivity for certain models with specific net growth rate and cell-to-cell transmissions are investigated as examples for illustration. Our results improve and generalize some known results.
Keywords: model / nonlocal / global attractivity / functionals / endemic / Lyapunov / converge / illustration / reproduction

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