On decay–surge population models

  title={On decay–surge population models},
  author={Branda Goncalves and Thierry Huillet and Eva L{\"o}cherbach},
  journal={Advances in Applied Probability},
We consider continuous space–time decay–surge population models, which are semi-stochastic processes for which deterministically declining populations, bound to fade away, are reinvigorated at random times by bursts or surges of random sizes. In a particular separable framework (in a sense made precise below) we provide explicit formulae for the scale (or harmonic) function and the speed measure of the process. The behavior of the scale function at infinity allows us to formulate conditions… 
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