Abstract: This section focus on how the genetic pollution been made aware by the public and the function of public service advertising (PSA) on accelerating the awareness process. Our model is based on the ordinary differential equations to describe how basic knowledge and the potential effects of genetic pollution been propagated through the public. During the analysis the model, the relationship between the propagation speed and the amount of social welfare brought about by PSA is very helpful. We conclude from the model the different optimum beginning time of PSA for different initial propagating speed which is directly related to the problem itself. In addition, we also evaluate the strength and weakness of the model and look into the future work putting forward some accessing methods.

Restatement of Our Modeling Task

With the emergency and deterioration of genetic problems, together with the lack of related knowledge, the role of PSA is becoming more and more important in popularizing the knowledge of genetic pollution. To study the function of PSA on popularization of the genetic pollution and to optimize the beginning time of the advertising.

Basic Assumption

• The speed of propagation will be increased greatly with the help of advertisement, but this will only be useful to those who do not aware of this problem
• We assume the propagation speed will not reach its maximum level after stopping the advertising
• Ignore the change in the advertising environment and that of similar problems
• We also assume the propagation process is continuous process
• The intensity and the duration of the PSA of genetic pollution is relative unchanged
• The advertising content is authentic and significant
• The positive effects of the advertisement is immediately

Symbol and Nomenclature

v(t): The increasing speed of population number who are aware of the problem; T: the duration of advertising time; t₁: Starting time of the advertisement; A(t): the intensity (use the cost of advertisement to represent it); β: Attenuation factor; M：Maximum level，which means all people are aware of the genetic problem; ω：The social welfare brought about by awareness of the problem;; a ：The total cost of the advertisement; Q(t)：the average social welfare; E ：response factor which means the level of response of A(t) to V(t).

Establishment of Our Model

Model Analysis

Model 1

Model 2

Model Evaluation

Future Work

Reference