Journal
BULLETIN OF MATHEMATICAL BIOLOGY
Volume 71, Issue 7, Pages 1781-1792Publisher
SPRINGER
DOI: 10.1007/s11538-009-9426-6
Keywords
Periodic; Matrix population model; Reproductive value; Basic reproduction number; Entropy
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This article considers three different aspects of periodic matrix population models. First, a formula for the sensitivity analysis of the growth rate lambda is obtained that is simpler than the one obtained by Caswell and Trevisan. Secondly, the formula for the basic reproduction number a>(0) in a constant environment is generalized to the case of a periodic environment. Some inequalities between lambda and a>(0) 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 lambda in the periodic case.
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