| Autors: Stamov, G. T., Stamova Ivanka., Spirova, C. V. Title: Impulsive Reaction-Diffusion Delayed Models in Biology: Integral Manifolds Approach Keywords: reaction-diffusion equations, delays, impulses, integral man Abstract: In this paper we study an impulsive delayed reaction-diffusion model applied in biology. The introduced model generalizes existing reaction-diffusion delayed epidemic models to the impulsive case. The integral manifolds notion has been introduced to the model under consideration. This notion extends the single state notion and has important applications in the study of multi-stable systems. By means of an extension of the Lyapunov method integral manifolds’ existence, results are established. Based on the Lyapunov functions technique combined with a Poincarè-type inequality qualitative criteria related to boundedness, permanence, and stability of the integral manifolds are also presented. The application of the proposed impulsive control model is closely related to a most important problems in the mathematical biology—the problem of optimal control of epidemic models. The considered impulsive effects can be used by epidemiologists as a very effective therapy control strategy. In addit References Issue
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Цитирания (Citation/s):
1. Nonlinear Multi-term Impulsive Fractional q-Difference Equations with Closed Boundary Conditions - 2024 - в издания, индексирани в Scopus или Web of Science
2. On h-manifolds stability for impulsive delayed SIR epidemic models - 2023 - в издания, индексирани в Scopus или Web of Science
3. Extended Stability and Control Strategies for Impulsive and Fractional Neural Networks: A Review of the Recent Results - 2023 - в издания, индексирани в Scopus или Web of Science
4. INVESTIGATION OF A NONLINEAR MULTI-TERM IMPULSIVE ANTI-PERIODIC BOUNDARY VALUE PROBLEM OF FRACTIONAL q -INTEGRO-DIFFERENCE EQUATIONS - 2023 - в издания, индексирани в Scopus или Web of Science
5. Usage of High-Performance System in Impulsive Modelling of Hepatitis B Virus - 2023 - в издания, индексирани в Scopus или Web of Science
6. Existence results for nonlinear multi-term impulsive fractional q-integro-difference equations with nonlocal boundary conditions - 2023 - в издания, индексирани в Scopus или Web of Science
7. Synchronization of Fractional-Order Neural Networks with Time Delays and Reaction-Diffusion Terms via Pinning Control - 2022 - в издания, индексирани в Scopus или Web of Science
Вид: статия в списание, публикация в реферирано издание, индексирана в Scopus
