DYNAMICS OF PARKING HABITS WITH PUNISHMENT: AN APPLICATION OF SEIR MODEL
NITA H. SHAH *
Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India
FORAM A. THAKKAR
Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India
BIJAL M. YEOLEKAR
Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India
*Author to whom correspondence should be addressed.
Abstract
In this paper, a parking habit with punishment transmission model is formulated as a system of non-linear ordinary differential equations to study the impact of punishment on an individual who are exposed and habituated towards wrong parking. Here, the basic reproduction number; is calculated at an equilibrium state which decides the habit of an individual in the parking system. If, then we get a system in which the individuals are following the right parking rules, whereas in the case of , this doesn’t happen. Numerical simulation and its interpretation are presented which shows that the penalty plays an important role in forcing for the right parking rules by an individual.
Keywords: System of non-linear ordinary differential equations, parking habits, punishment, basic reproduction number, local stability, global stability