OICC Press Mathematical Analysis and its Contemporary Applications 4 3 2022 04 01 Stability analysis of transmitter receptors model 10.30495/maca.2022.1953296.1051 EN Dhamodharan D Department of Mathematics, Jamal Mohamed College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli-620020, India B. Mohamed Harif Department of Mathematics, Serfoji Government College (Autonomous), Affiliated to Bharathidasan University, Tanjavour, Tamil Nadu, India Bonyah Ebenezer Department of Mathematics Education, Akenten Appiah Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana Journal Article 2022 04 01 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.