Bulletin of Mathematical Biology, 2009,
71 (7), p. 1781-1792 ISSN 0092-8240
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.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
