On the variations of the principal eigenvalue and the probability of survival with respect to a parameter in growth-fragmentation-death models
mag(2016)
摘要
We study the variations of the principal eigenvalue associated to a growth-fragmentation-death equation with respect to a parameter. To this aim, we use the probabilistic individual-based interpretation of the model. We study the variations of the survival probability of the stochastic model, using a generation by generation approach. Then, making use of the link between the survival probability and the principal eigenvalue established in a previous work, we deduce the variations of the eigenvalue with respect to the parameter of the model.
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关键词
integro differential equation
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