Abstract
This article is from the physical point of view, setting up a smoking mathematical model through the analysis of people's smoking process. The article leads in 2 basic functions and , using the Conservation law of physics and Micro-element analysis of Calculus, accurately setting up a dynamic model of smoking, finally getting the relation between the amount of poison Q and some other variables. For the question of if a filter tip is effective or not, 2 different situations was set up in the article, one is with filter tip and the other is without filter tip. And then did a qualitative analysis and comparison as per 2 situations and got a final result.
The model was finally analyzed and verified by Matlab software accord to the data collected from elsewhere. The article offered a reasonable proposal on how to reduce the amount of poison when smoking.
In the last, combining the analysis and the outcome of the above model, we give an objective evaluation of the Matlab language in the application of differential equations, but also point out the advantages and disadvantages of this article.
