Summary
We review the state-of-the-art concerning a mathematical framework for general physiologically structured population models. When individual development is affected by the population density, such models lead to quasilinear equations. We show how to associate a dynamical system (defined on an infinite dimensional state space) to the model and how to determine the steady states. Concerning the principle of linearized stability, we offer a conjecture as well as some preliminary steps towards a proof.
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Diekmann, O., Gyllenberg, M., Metz, J. (2007). Physiologically Structured Population Models: Towards a General Mathematical Theory. In: Takeuchi, Y., Iwasa, Y., Sato, K. (eds) Mathematics for Ecology and Environmental Sciences. Biological and Medical Physics, Biomedical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34428-5_2
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DOI: https://doi.org/10.1007/978-3-540-34428-5_2
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