Stability analysis of transmitter receptors model

D, Dhamodharan; Harif, B. Mohamed; Ebenezer, Bonyah

doi:10.30495/maca.2022.1953296.1051

Stability analysis of transmitter receptors model

https://doi.org/10.30495/maca.2022.1953296.1051

Volume 4, Issue 3
Spring 2022

Pages 9-16

Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Dhamodharan D ¹

B. Mohamed Harif ²

Bonyah Ebenezer ³

¹ Department of Mathematics, Jamal Mohamed College (Autonomous)(Affiliated to Bharathidasan University), Tiruchirapplli-620020, India

² Department of Mathematics, Serfoji Govt. College (Autonomous) (Affiliated to Bharathidasan University), Tanjavour, Tamilnadu, India

³ Department of Mathematics Education, Akenten Appiah Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana, South Africa

Abstract

The Jumarie fractional-order transmitter receptors model is discussed in this paper. Transmitter receptors can be found in a variety of states, including accumulated, freed, combined with receptors, and recycled for storage. For such a system, a collection of equations is proposed and analyzed. We considered the solution's asymptotically stability and discussed the physiological effect of transmitter receptor transport in a synaptic chasm in the presence of receptors and transporters with different kinetic properties under these limited conditions.

Keywords

Fractional-order model

transmitter receptors

Mittag Leffler function

Jumarie fractional derivative