![]() 10, 857–871 (2008)įan, M., Kuang, Y.: Dynamics of a nonautonomous predator-prey system with the Beddington–DeAngelis functional response. Hsu, S., Hwang, T., Kuang, Y.: Global dynamics of a predator–prey model with Hassell–Varley type functional response. Ecology 56, 881–892 (1975)Ĭrowley, P.H., Martin, E.K.: Functional responses and interference within and between year classes of a dragonfly population. Nature 223, 1133–1136 (1969)īeddington, J.R.: Mutual interference between parasites or predators and its effect on searching efficiency. Hassell, M., Varley, G.: New inductive population model for insect parasites and its bearing on biological control. Sklaski, G.T., Gilliam, J.F.: Functional responses with predator interference: viable alternative to Holling type II model. Ruan, S., Xiao, D.: Global analysis in a predator–prey system with nonmonotonic functional response. Huang, J., Ruan, S., Song, J.: Bifurcations in a predator–prey system of Leslie type with generalized Holling type III functional response. ![]() Lv, Y., Du, Z.: Existence and global attractivity of positive periodic solution to a Lotka–Volterra model with mutual interference and Holling III type functional response. Holling, C.S.: The functional response of invertebrate predators to prey density. Holling, C.S.: Some characteristics of simple types of predation and parasitism. Freeman and Company, New York (2008)īrauer, F., Chavez, C.C.: Mathematical Models in Population Biology and Epidemiology. At last, numerical simulations are carried out to support the main theoretical results. We consider two time delays in this work: one is predator–prey reaction delay \(\tau _\). The main feature of this article is to study the Crowley–Martin functional response, age structure and delays at the same time in a predator–prey model. In this paper, we investigate an age-structured predator–prey model with predator-dependent functional response and two delays.
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