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- W2352671710 abstract "In order to interpret periodic oscillations dynamical behavior between Scaeva pyrastri and aphid,and to provide the theoretical basis for Integrated Pest Management,in this paper a new age-structure Scaeva pyrastri-aphid preying model with delay is established.In this model,we mainly consider the case in which only immature predator preys the pest,aphid.With stability theory and Hopf bifurcation theory of functional differential equations,we discuss all equilibrium points' stability and Hopf bifurcation for this system.We find the following results:1) the free equilibrium point E_1(0,0,0) is always unstable;2) the boundary equilibrium point E_2(K,0,0) is locally and asymptotically stable in some conditions,and it has Hopf bifurcation in other conditions;3) the positive equilibrium point E_3(x~*,y_1~*my_2~*) is difficult to analyze theoretically,so we use the computer simulation to this point and find that the delay in the model has great effect on its stability.When the delay(τ_1 or τ_2) is greater than critical value(τ_1~* or τ_2~*),there is periodic oscillation to depict the dynamical behavior between Scaeva pyrastri and aphid.These results show that the development period of aphid and Scaeva pyrastri has great effect on the stability for their system,and it is the main reason to cause dynamical periodic oscillation behavior between Scaeva pyrastri and aphid." @default.
- W2352671710 created "2016-06-24" @default.
- W2352671710 creator A5091133400 @default.
- W2352671710 date "2013-01-01" @default.
- W2352671710 modified "2023-09-25" @default.
- W2352671710 title "AN AGE-STRUCTURE SCAEVA PYRASTRI-APHID PREYING MODEL WITH DELAY" @default.
- W2352671710 hasPublicationYear "2013" @default.
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