Periodic Matrix Population Models: Growth Rate,Basic Reproduction Number,and Entropy |
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Authors: | Nicolas Bacaër |
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Affiliation: | (1) Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA;(2) Department of Mathematics, Howard University, Washington, DC 20059, USA; |
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Abstract: | This article considers three different aspects of periodic matrix population models. First, a formula for the sensitivity analysis of the growth rate λ is obtained that is simpler than the one obtained by Caswell and Trevisan. Secondly, the formula for the basic reproduction number ℛ0 in a constant environment is generalized to the case of a periodic environment. Some inequalities between λ and ℛ0 proved by Cushing and Zhou are also generalized to the periodic case. Finally, we add some remarks on Demetrius’ notion of evolutionary entropy H and its relationship to the growth rate λ in the periodic case. |
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