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A general theory for target reproduction numbers with applications to ecology and epidemiology
Download2019-01-01
Mark A. Lewis, Zhisheng Shuai, P. van den Driessche
A general framework for threshold parameters in population dynamics is developed using the concept of target reproduction numbers. This framework identies reproduction numbers and other threshold parameters in the literature in terms of their roles in population control. The framework is applied...
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2022-01-01
Peter D. Harrington, Mark A. Lewis, P. van den Driessche
Transient dynamics often differ drastically from the asymptotic dynamics of systems. In this paper we analyze transient dynamics in birth-jump metapopulations where dispersal occurs immediately after birth (e.g., via larval dispersal). We address the choice of appropriate norms as well as...