ℵ-FUNCTION AND PERSISTENCE OF EQUILIBRIUM STATES IN BIOLOGICAL SYSTEMS
By
Harish Shukla¹ , Divya Dubey², Rajeev Shrivastava³ and P. P. Mishra4
¹,²Department of Mathematics, A. P. S. University, Rewa-486001, Madhya Pradesh, India
³Department of Mathematics, Government Indira Gandhi Home Science College, Shahdol- 484001, Madhya Pradesh, India
4Department of Mathematics, Government Postgraduate College, Panna-488001, Madhya Pradesh, India
Email:harish007shukla@gmail.com, divyaranusdl@gmail.com, rajeevshri18@gmail.com, mishrapp@yahoo.com.
(Received: March 31, 2021; Revised: in Format : April 23, 2021; Revised in final form : October 26, 2021 )
DOI: https://doi.org/10.58250/Jnanabha.2021.51221
Abstract
In an attempt to give extensions of the results in the theory and applications of special functions we derive a proper integral whose integrand contains Aleph function having general argument and used it in finding out a solution of a non-linear differential equation ∂u/∂t = D (∂2u/ ∂x2) + f (u) related to a reaction-diffusion problems in biological models by means of linearization procedure.
2020 Mathematical Sciences Classification: Primary 33C60, 33C90.
Keywords and Phrases: ℵ-function, H-function, reaction-diffusion equation, linearization procedure