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| Physiologically structured population models are used in biology and ecology to study, from a mathematical point of view, the behaviour of populations, in which the individuals differ due to physiological characteristic, and the interactions of the populations with the environment. The models can be defined in terms of Delay Differential Equations and Volterra Functional equations. Due to the complexity of the models, it is not possible to handle the problem analytically, and so it is necessary to use numerical methods, even to obtain steady states solutions.
We present the formulation for a general type of models, and numerical methods to compute equilibrium branches and bifurcation curves under one and two parameter variations. Using this type of formulation and the algorithms proposed, it is possible to obtain biological conclusions for different type of models, including consumer-resource, three trophic, or cannibalistic models. |
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