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| Global Analyses and Persistence in a Delayed Ratio—Dependent Predator—Prey System | |
| 基金项目： | SupportedbyNationalScienceFoundationofHenan ( 1999110 0 11) |
| 摘 要： | Inthispaper ,thefollowingsystemisconsidered .dxdt =ax(1-x/k) -cxy/ (my+x)dydt =y(-d -ey+ fx(t-τ) ) / (my(t -τ) +x(t-τ) )x(0 ) >0 ,y(0 ) >0(1.1) Wherex ,ystandsforpreyandpredatordensity ,respectively .a ,k ,c ,d ,e ,f ,m ,τarepositivecon stantsthatstandforpreyintrinsicgrowthrate ,carryingcapacity ,capturingrate ,predatordeathrate ,densitydependentrate ,conversionrate ,halfcapturingsaturationconstant ,timedelay ,respectively .Inmanysituations ,especiallywhenpredatorshavetosearchforfood(an… |
| 关 键 词： | 整体分析 捕食－被捕食系统 持久性 比率 数学生态学 |
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