具有功能反应函数的捕食模型的定性分析.pdf

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7、(t)x2(t)ym(t)x˙=x(t)(r1(t)−b1(t)x(t))−22,k+x(t)m∈(0,1).c2(t)x2(t)ym(t)y˙=y(t)(−r2(t)−b2(t)y(t))+22.k+x(t)+Bnk$7f-9+_Lyapunov59,^4uWD7}d{kk_FS.d,%
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8、+my(t)c(t)x(t−τ)y˙(t)=y(t)−d(t)+−h2(t).1+nx(t−τ)+my(t−τ)+B0k$7f-9+_Lyapunov59,^4uWpks_℄70.D):-W;ll;E;Lyapunov6;;"℄?6;;-;1l&iizS=&fAiQualitativeanalysisofthepredator-preymodelswithfunctionalresponseAbstractInthisthesis,byusingthedeterminant

9、ofJacobiancomparisontheoremLyapunovfunctionandcontinuationtheorem,etc,severalpredator-preysystemswithfunc-tionalresponsewerestudiedforitsstabilityandperiodicsolutions.Thethesisisdividedintothreesections.Chapter1studiesthepredator-preymodelwithMichaelis-Mententypef

10、unc-tionalresponseandcontinuousthresholdharvestingxyx˙=ax(1−x)−,b+xbxy˙=y−d−H(y).b+xweobtaintheexistenceofequilibriums,andestimatethestabilityoftheequilib-riumsbythedeterminantofJacobian.Chapter2studiesamutualinterferencepredator-preymodelwithHollingIIIfu

11、nctionalresponse2mc1(t)x(t)y(t)x˙=x(t)(r1(t)−b1(t)x(t))−k2+x2(t),m∈(0,1).c(t)x2(t)ym(t)2y˙=y(t)(−r2(t)−b2(t)y(t))+.k2+x2(t)Byusingt