Effect of delayed response in growth on the dynamics of a chemostat model with impulsive input

Integral boundary value problem for impulsive integro-differential equations in Banach spaces

“…However, the corresponding theory of impulsive integro-differential equations in abstract spaces is still at an initial stage of development. For the basic theory and recent development, the reader is referred to [1][2][3][4][5][6][7][8][9][10][11][12][13] and references therein.…”

Analysis of a delayed Monod type chemostat model with impulsive input the polluted nutrient

“…As discussed in [29]. The function PðsðtÞÞ ¼ l m sðtÞxðtÞ DðKmþsðtÞÞ indicates the consumption rate of nutrient by the microorganism.…”

“…Systems with sudden perturbations are involving an impulsive differential equations which have been studied intensively and systematically in [25,26]. While there are few papers [27][28][29][30][31][32] research the mathematical model with impulsive perturbations.…”

The dynamic behaviors of a new impulsive predator prey model with impulsive control at different fixed moments

“…The main purpose of this paper therefore is to formulate and investigate an epidemiological model for the bio-control of a pest. In fact, the theoretical investigation and its application analysis can be found in almost every field [1,6,9,10,12,13,17,21,30]. This pest population is assumed to grow according to a logistic curve in the absence of disease [5,31].…”