Perturbations of Positive Semigroups and Applications to Population Genetics.
Reinhard Bürger (1988)
Mathematische Zeitschrift
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Reinhard Bürger (1988)
Mathematische Zeitschrift
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G.F. Webb (1985)
Mathematische Zeitschrift
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Glenn F. Webb (2003)
Banach Center Publications
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The objective of these lectures is to apply the theory of linear and nonlinear semigroups of operators to models of structured populations dynamics. The mathematical models of structured populations are typically partial differential equations with variables corresponding to such properties of individual as age, size, maturity, proliferative state, quiescent state, phenotype expression, or other physical properties. The main goal is to connect behavior at the individual level to behavior...
Jagers, Peter (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Josef Talacko (1948)
Aktuárské vědy
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A. Castellazzo, A. Mauro, C. Volpe, E. Venturino (2012)
Mathematical Modelling of Natural Phenomena
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In this paper we present an epidemic model affecting an age-structured population. We show by numerical simulations that this demographic structure can induce persistent oscillations in the epidemic. The model is then extended to encompass a stage-structured disease within an age-dependent population. In this case as well, persistent oscillations are observed in the infected as well as in the whole population.