Population Dynamics Modeling And Stability Of Rodent

Our country is a harmful rat frequent country, according to the seriousness of the farming and animal husbandry rat, since1986rat’s governance research Investigate into the state "seventh" research plan, later incorporated into the "five-year","ninth five-year science and technology research plan in China. Through nearly ten Years of research and study, our country agriculture pest research made great achievements. In order to explore effective prevention and control measures, this paper made the following research:1. The article second chapter considers the competitive reproductive disturbance, im-mune sterility control model is established, Based on enough to compare the different gender, the study of fertility control Have sex structure of population dynamics. In theory, analyzes the fertility control may effect, in order to get the conclusion can provide theoretical basis for sterility control on. In the infertility technology control harmful to animals, usually will actually reproduce in the proportion of male and female individuals is called competitive interference coefficient, with populations of wedding preparation And mating behavior has a close relationship. This article assumes that, bandicoot the mating system is N wife, compet-itive reproductive interference coefficient is M/M+m, We assume that the density restriction only role in the birth rate, is established on individual respectively male and female immune infertility control model.2. The third chapter studies bandicoot infertility infertility vaccine virus on bandicoot role in control process, consider bandicoot grazing to into energy for reproduction after the time (i.e., rodent’s pregnancy), Add delay more realistic reflect the interaction between biological. Assume that bandicoot grazing to into energy for reproduction after the time required to (i.e., rodent’s pregnancy), To establish the following infectious diseases predator prey model with time delay.3. Using mathematical model to describe plaque environment the spread of the pop-ulation problem is one of the most interesting question of mathematical ecology, in fact, the diffusion occur frequently in the ecological environment, That is, population can spread between different plaques. Considering the bandicoot there is diffusion phenomenon, this paper established the kinetics of reaction diffusion model to study the migration of harmful rat such as What causes and influence the spread of bandicoot space. For the reaction dif-fusion model, this paper discusses the stability of the positive equilibrium point. Through research conclusions:for reaction diffusion model, tile positive equilibrium is stable, there will be no space namely spot diagram:Bandicoot mobile not only led to the emergence of travelling wave solutions, also cause human to harm on rat spatial diffusion, In order to prevent the spread of the rat the government should strengthen the regulation of rat, if want to eliminate rat, immune and other prevention and control measures is needed.