J. Nonl. Mod. Anal., 6 (2024), pp. 476-484.
Published online: 2024-06
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In [6] , the authors studied an SIR epidemic model with free boundary. They first proved the global existence and uniqueness of solution, and then gave the criteria for spreading and vanishing. They also obtained the longtime behavior for the case of vanishing. However, the longtime behavior when spreading happens remains open. In this short paper, we aim to solve this open problem.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.476}, url = {http://global-sci.org/intro/article_detail/jnma/23186.html} }In [6] , the authors studied an SIR epidemic model with free boundary. They first proved the global existence and uniqueness of solution, and then gave the criteria for spreading and vanishing. They also obtained the longtime behavior for the case of vanishing. However, the longtime behavior when spreading happens remains open. In this short paper, we aim to solve this open problem.