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Liang, Xing; Zhang, Lei; Zhao, Xiao-Qiang
Journal of dynamics and differential equations, 09/2019, Letnik: 31, Številka: 3Journal Article
In this paper, we develop the theory of basic reproduction ratios R 0 for abstract functional differential systems in a time-periodic environment. It is proved that R 0 - 1 has the same sign as the exponential growth bound of an associated linear system. Then we apply it to a time-periodic Lyme disease model with time-delay and obtain a threshold type result on its global dynamics in terms of R 0 .
