In this paper, I propose a fractional-order mathematical five-dimensional dynamical system modeling a SVEIR model of infectious disease transmission in a chemostat. A profound qualitative analysis is given. The analysis of the local and global stability of equilibrium points is...
Open access
Research Article10.9734/arjom/2019/v12i430095
A modified ”SIR” epidemic model is proposed taking into account of suitable protein doses that are applied on the total population as a control to manage a disease outbreak when treatments are not available. The proteins cause a change in behavior resulting in three susceptible c...
Open access
Research Article10.9734/jamcs/2019/v30i630095
In the present work, a fractional-order differential equation based on the Susceptible-Infected- Recovered (SIR) model with nonlinear incidence rate in a continuous reactor is proposed. A profound qualitative analysis is given. The analysis of the local and global stability of eq...
Open access
Research Article10.9734/arjom/2019/v12i230082
In this paper, a fractional-order mathematical model for n species competing, in a chemostat, for a single resource is proposed. The global dynamics was studied using Lyapunov theory, for any set of increasing growth functions. Obtained results generalize and improve the well-kno...
Open access
Research Article10.9734/arjom/2019/v12i330085