Transformation semigroups and L1-approximation for size structured population models.
F. Kappel, H.T. Banks (1989)
Semigroup forum
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F. Kappel, H.T. Banks (1989)
Semigroup forum
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Fragnelli, G. (2005)
International Journal of Mathematics and Mathematical Sciences
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J. Z. Farkas, D. M. Green, P. Hinow (2010)
Mathematical Modelling of Natural Phenomena
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Motivated by structured parasite populations in aquaculture we consider a class of size-structured population models, where individuals may be recruited into the population with distributed states at birth. The mathematical model which describes the evolution of such a population is a first-order nonlinear partial integro-differential equation of hyperbolic type. First, we use positive perturbation arguments and utilise results from the...
W.L. Chan, Guo Bao Zhu (1990)
Manuscripta mathematica
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A. B. Ryabov, B. Blasius (2008)
Mathematical Modelling of Natural Phenomena
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The spatio-temporal dynamics of a population present one of the most fascinating aspects and challenges for ecological modelling. In this article we review some simple mathematical models, based on one dimensional reaction-diffusion-advection equations, for the growth of a population on a heterogeneous habitat. Considering a number of models of increasing complexity we investigate the often contrary roles of advection and diffusion for the persistence of the population. When it is possible...