Impulsive Delayed Lasota–Wazewska Fractional Models: Global Stability of Integral Manifolds

Gani Stamov and Ivanka Stamova
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Gani Stamov: Department of Mathematics, Technical University of Sofia, 8800 Sliven, Bulgaria
Ivanka Stamova: Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA

Mathematics, 2019, vol. 7, issue 11, 1-15

Abstract: In this paper we deal with the problems of existence, boundedness and global stability of integral manifolds for impulsive Lasota–Wazewska equations of fractional order with time-varying delays and variable impulsive perturbations. The main results are obtained by employing the fractional Lyapunov method and comparison principle for impulsive fractional differential equations. With this research we generalize and improve some existing results on fractional-order models of cell production systems. These models and applied technique can be used in the investigation of integral manifolds in a wide range of biological and chemical processes.

Keywords: global stability; integral manifolds; impulsive Lasota–Wazewska models; functional derivatives; variable impulsive perturbations; time-varying delays (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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