Population dynamics control in regard to minimizing the time necessary for the regeneration of a biomass taken away from the population

Abstract

Population dynamics control in regard to minimizing the time necessary for the regeneration of a biomass taken away from the population RAIRO-Modélisation mathématique et analyse numérique, tome 24, n o 6 (1990), p. 681-691. <http://www.numdam.org/item?id=M2AN_1990__24_6_681_0> © AFCET, 1990, tous droits réservés. L'accès aux archives de la revue « RAIRO-Modélisation mathématique et analyse numérique » implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/

Stability analysis of first‐order impulsive nonautonomous system on timescales

“…Impulsive differential equations turned out to be the best tools for modeling physical problems, which are subject to abrupt changes of state at certain instant. These equations are suitable to describe biotechnology processes, biological systems, mathematical economy, population dynamics, medicine, pharmacokinetics, chemical energy, etc . Because of these fruitful applications in different fields, impulsive differential equations have gotten considerable attention from the researchers.…”

Hyers-Ulam stability of nonlinear impulsive Volterra integro-delay dynamic system on time scales

“…Many real world phenomena are represented by smooth differential equations. However, the situation becomes quite different in the case when a physical phenomena has sudden changes in its state such as mechanical systems with impact, biological systems with heart beats, blood flows, population dynamics, theoretical physics and so on (see [4]). Adequate mathematical models of such processes are systems of differential equations with impulses i.e., impulsive differential equations.…”

Optimization problems for general simple population with n-impulsive harvest

“…In 1990, Bainov and Dishliev considered impulsive harvest and resource's reasonable exploitation simultaneously for Logistic model [5]. The moments of impulsive harvest and the magnitudes of every impulse are determined so that the biomass of population at terminal time of exploitation is maximum provided the fixed quantity of total impulsive harvest.…”