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Modeling pulse infectious events irrupting into a controlled context: A SIS disease with almost periodic parameters
(2012)
A new epidemic model of seasonal/cyclical pulse contagions of an infectious disease is introduced: a population with a controlled infectious disease is perturbed by a sequence of pulse infectious events arising from the ...
A new class of differential equations with impulses at instants dependent on preceding pulses. Applications to management of renewable resources
(2012)
In this paper, a new type of mathematical model to represent certain processes with impulsive dynamic behavior is introduced. The main assumption is that the next impulse time is determined by three fundamental elements: ...
A pulse fishery model with closures as function of the catch: Conditions for sustainability
(2012)
We present a model of single species fishery which alternates closed seasons with pulse captures. The novelty is that the length of a closed season is determined by the remaining stock size after the last capture. The ...