Permanence and chaos in a host–parasitoid model with prolonged diapause for the host

The Dynamic Complexity of an Apparent Competition Community Ecological Model with the Beddington-DeAngelis Functional Response

“…Convincing evidence for determinism in chaotic systems has come from several recent experiments [26][27][28]. The results of these studies have confirmed the importance of detecting chaos and exploring its structure.…”

Dynamics of a host–parasitoid model with prolonged diapause for parasitoid

“…However, few studies have explored host-parasitoid systems with prolonged diapause using mathematical approaches and difference equations. Recently, only Corley et al [18] and Zhao and Zhang [19,20], by developing difference models, have investigated the dynamics of host-parasitoid systems with prolonged diapause for host, using mathematical methods and numerical simulation. In reality, many parasitoid also suffer from prolonged diapause for various reasons [21][22][23][24].…”

Global stability of stage-structured predator–prey models with Beddington–DeAngelis functional response

“…Owing to its theoretical and practical significance, (1) and its various generalized forms have received great attention lately and have been studied extensively, see e.g. [6][7][8][9][10][11][12] and the references therein. System (1) assumes that each individual prey admits the same risk to be attacked by predator.…”