10.30495/maca.2022.1953296.1051

Stability analysis of transmitter receptors model

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  • Dhamodharan D1,
  • B. Mohamed Harif2,
  • Bonyah Ebenezer3,
  1. Department of Mathematics, Jamal Mohamed College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli-620020, India
  2. Department of Mathematics, Serfoji Government College (Autonomous), Affiliated to Bharathidasan University, Tanjavour, Tamil Nadu, India
  3. Department of Mathematics Education, Akenten Appiah Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana

Published in Issue 2022-04-01

How to Cite

Stability analysis of transmitter receptors model. (2022). Mathematical Analysis and Its Contemporary Applications, 4(3). https://doi.org/10.30495/maca.2022.1953296.1051

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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
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