Mathematic
Fractional order system dynamical behaviors with Beddington-DeAngelis functional response

Hiwa Hussein Rahman; Kawa Ahmad Hassan

Volume 4, Issue 2 , December 2022, , Pages 170-179

https://doi.org/10.24271/psr.2022.341464.1133

Abstract
  The present study proposes a fractional order prey-predator model with Beddington-DeAngelis functional response, that the Caputo fractional derivative is applied. There is exploration of the solutions' existence, uniqueness, non-negativity, and boundedness. Stability of all feasible equilibrium points ...  Read More

Mathematic
Model Reduction and Analysis for ERK Cell Signalling Pathway Using Implicit-Explicit Rung-Kutta Methods

Hemn M. Rasool; Mardan Ameen Pirdawood; Younis A. Sabawi; Roshna H. Mahmood; Prshng A. Khalil

Volume 4, Special issue , November 2022, , Pages 160-178

https://doi.org/10.24271/psr.2022.161692

Abstract
  Many complex cell signalling pathways and chemical reaction networks include many variables and parameters; this is sometimes a big issue for identifying critical model elements and describing the model dynamics. Therefore, model reduction approaches can be employed as a mathematical tool to reduce the ...  Read More