Several Classes Of Sterility Control Stability Analysis Of The Model

Rodent not only caused huge losses to agriculture and animal husbandry, industry,but also spread the disease to human and livestock, and bring huge economic losses tothe people. So people use all kinds of the methods to control the numble of the rodentpopulations, including sterile control is a kind of new method. Currently,a large number ofimmunocontraception control model only consider a single population control, but actually,species of the nature do not exist alone, in considering the control of a single populations, wemust at the same time to consider the numble of the competition populations and predatorpopulations. Therefore, we need in the study of a single competition populations law at thesame time, consider between populations, that is studying infertility technology to controlthe size of the bandicoot also considered to thieircompetitors, like this our model more inline with reality, also be able to have more signifcance.Based on the characteristics of rodent pests establish immunocontraception control mod-els with sex-structure are presented、two contraception control model with birth density re-striction is formulated、man-made to put natural enemies and infertility control pests modelunder the joint action, three types of dynamic model, and its in-depth study.In the second chapter Discussed immunocontraception control models with sex-structureare presented. Local stability of these systems is investigated based on analyzing the corre-sponding characteristic equation and the second additive compound matrix. The efects ofmale-specifc and female-specifc virus-vectored immunocontraception on population dynam-ical behavior is analyzed, respectively. Finally, some numerical simulations are performed toverify the theoretical results.In the third chapter work up two contraception control model with birth density restric-tion is formulated. We prove the local stability of the equilibrium points by applying theRouth-Hurwitz criterion, and demonstrate the dynamics with numerical simulation. Theefects of parameters on population dynamical behavior are discussed.In the fourth chapter assume that diferent sex harmful rat fertility rate is diferent, set up two kinds of control: interval time on the natural enemy and fxed continuous infertilitycontrol population dynamic harmful rat model,global asymptotic stability of pest-eradicationperiodic solution and permanence of the system are given. It has important practical signif-icance for rodent control.