Comparison of mathematical models for the dynamics of the Chernivtsi children disease (original) (raw)
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The study concerns the spread of industrial pollution which causes the epidemic disease in form of populations S(t), I(t) and R(t). Analytical Formulations have been established to investigate the populations of S(t), I(t) and R(t) using simultaneous differential equations.The spread of infectious disease through a population has been considered to analyze that the disease can be transmitted at some stage from an infected individual to on uninfected but susceptible member of the population. The conclusion of the study consists of infected persons are removed at a rate proportional to the number of infectives. The case of removal and immigration is employed in the analysis to allow for the increase of susceptible at a constant rate μ so that differential equations dS/dt,dI/dt and dR/dt can be solved simultaneously to estimate the populations S(t),I(t) and R(t).
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Mathematical model on the industrial pollution and spread of infection diseases using population growth model for epidemic has been studied. Epidemics have ever been a great concern of human kind and we are still moved by the dramatic descriptions that arrive to us from the past, as in Lu-cretius's sixth book of "De RerumNatura" or as in other more recent descriptions that we find in the literature. The "Black Death", the plague that spread across Europe and from 1347 to 1352 and made 25 millions of victims, seems to be far from our lives, but more recent events remind us that epidemics are an actual problem for health institution that are continuously facing emerging and reemerging diseases.The model presented in terms of ordinary differential equations have been studied to investigate the long term effect of population in terms of spread of diseases based on working environment, social and other effects.
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Mathematical analysis for the quantification of susceptible (S(t)), Infectives (I(t)) and Removal (R(t)) populations in SIR model due to industrial pollution has been studied in the paper. The study concerns the analysis of SIR model to quantify the varying populations of S(t), I(t) and R(t) with three different sizes in the populations. A system of non-linear ordinary differential equations are solved using Runge-Kutta fourth order method to investigate the long term effect of industrial pollution on the human population in terms of spread of diseases.
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