Mathematical modelling of poverty dynamics with the effect of alcohol consumption

Chinnadurai, K.; Athithan, S.

doi:10.1063/5.0025263

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2023

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“…The E1 system (1) has only the PFE shows locally and asymptotically stable [22] (see Figure 2). And also for a different set of parameters in S2={μ=0.12, μ1=0.16, α1=0.65, α2= 0.56, l1=0.02, l2=0.02, γ=0.15, θ1= 0.001, θ2=0.37}.…”

Section: Numerical Simulationmentioning

confidence: 99%

Poverty and the Effects of Drug Addiction in a Deterministic and Stochastic Model

Chinnadurai¹,

Athithan²

2023

MMEP

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In this research work, a mathematical model for exploring the dynamics of poverty and drug addiction among human population is developed and analyzed by the way of deterministic and stochastic differential equations. Our model is constructed by assuming four compartments of the population namely non-impoverished or rich people, poor people, drug addicts and recovered people population. The model exhibits three equilibrium points and stability of those equilibrium points are analyzed in detail. To enhance and validate the analysis of solutions and equilibrium points, it has been carried out numerical simulation which will also shows the effectiveness of our model. We tried to depict the effect of drug addiction and poverty in society through our mathematical model has some occasions explained through suitable numerical explanations by plotting the respective compartments. We hope our suggestions may serve in a better manner for the future to reduce the poor people.

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Section: Numerical Simulationmentioning

confidence: 99%