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Existence of two distinct time scales in the Fairen-Velarde model of bacterial respiration
Soumyadeep Kundu, Muktish Acharyya
We study the bacterial respiration through the numerical solution of the Fairen-Velarde coupled nonlinear differential equations. The instantaneous concentrations of the oxygen and…
Critical Slowing Down along the Separatrix of Lotka-Volterra Model of Competition
Sauvik Chatterjee, Muktish Acharyya
The Lotka-Volterra model of competition has been studied by numerical simulations using the Runge-Kutta-Fehlberg algorithm. The stable fixed points, unstable fixed point, saddle no…
Modelling the Spread of an Epidemic in Presence of Vaccination using Cellular Automata
Agniva Datta, Muktish Acharyya
The results of Kermack-McKendrick SIR model are planned to be reproduced by cellular automata (CA) lattice model. The CA algorithms are proposed to study the model of epidemic, sys…
Phase transition in Kermack-McKendrick Model of Epidemic: Effects of Additional Nonlinearity and Introduction of Medicated Immunity
Agniva Datta, Muktish Acharyya
Mathematical modelling of the spread of epidemics has been an interesting challenge in the field of epidemiology. The SIR Model proposed by Kermack and McKendrick in 1927 is a prot…