Ontology type: schema:ScholarlyArticle Open Access: True
1998-03
AUTHORSOdo Diekmann, Mats Gyllenberg, J. A. J. Metz, Horst R. Thieme
ABSTRACT—We define a linear physiologically structured population model by two rules, one for reproduction and one for “movement” and survival. We use these ingredients to give a constructive definition of next-population-state operators. For the autonomous case we define the basic reproduction ratio R0 and the Malthusian parameter r and we compute the resolvent in terms of the Laplace transform of the ingredients. A key feature of our approach is that unbounded operators are avoided throughout. This will facilitate the treatment of nonlinear models as a next step. More... »
PAGES349-388
http://scigraph.springernature.com/pub.10.1007/s002850050104
DOIhttp://dx.doi.org/10.1007/s002850050104
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