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A new class of differential equations with impulses at instants dependent on preceding pulses. Applications to management of renewable resources
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: ...
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Applications of proportional calculus and a non-Newtonian logistic growth model
Pinto, Manuel; Torres, Ricardo; Campillay-Llanos, William; Guevara-Morales, Felipe (2020)On the set of positive real numbers, multiplication, represented by ⊕, is considered as an operation associated with the notion of sum, and the operation a ⨀ b = aln(b) represents the meaning of the traditional multiplication. ...
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Modeling pulse infectious events irrupting into a controlled context: A SIS disease with almost periodic parameters
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 ...
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Source–sink impulsive bioeconomic models: Seasonal closures with fixed length
The dynamics of four source–sink models for an exploited resource under a constant fishing effort are here presented. Two models are described by ordinary differential equations; the other two are expressed by impulsive ...