Descriptor: "*DELAY differential equations" / Language: english / Publication Year Range: Last 3 years / Publisher: de gruyter / Topic: stability - Searchworks@Jio Institute Digital Library Search Results

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Start Over Descriptor "*DELAY differential equations" Topic stability Publication Year Range Last 3 years Language english Publisher de gruyter

Author: Nowak, Grzegorz, Saker, Samir H., and Sikorska-Nowak, Aneta
Subjects: *INTEGRO-differential equations, *DELAY differential equations, *BANACH spaces
Abstract: In this paper, by using Sadovskii's fixed point theorem and the properties of the measure of noncompactness, we establish some sufficient conditions for the asymptotic stability results of nonlinear neutral integro-differential equations with variable delays. The results presented in this paper improve and generalize some results in the literature. An example is considered to illustrate our main results. [ABSTRACT FROM AUTHOR]
Published: 2023
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Author: Mondal, Ashok and Pal, Amit K.
Subjects: *PREDATION, *LOTKA-Volterra equations, *BIFURCATION diagrams, *DIFFERENTIABLE dynamical systems, *FUNCTIONAL differential equations, *DELAY differential equations
Abstract: (iii) The interaction between prey and predator is of Holling type-II functional response: HT $\begin{array}{c} \frac{d}{X} & = \frac{b_{1}}{X} - d_{1} X -_{1} X^{2} - \frac{}{X} \\ \frac{d}{Y} & = \frac{a_{1} X Y}{b_{2} + X} -_{2} Y . \end{array}$ ht Graph (2.7) Here, 2 and represent natural death rate and coefficient of consumption rate, respectively, of the predator population, b 2 is the half saturation constant, a 1 denotes the conversion factor. So, the decline rate is given by HT $d N_{1} + N_{1}^{2}$ ht and the growth rate is I bN i SB 1 sb , both depend on the present population size. [Extracted from the article]
Published: 2022
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