Seasonally perturbed prey–predator system with predator-dependent functional response

Dynamic complexities in a mutual interference host–parasitoid model

“…This functional response is especially suited for describing the systems in patchy environments where searching parasitoids tend to aggregate in some patches rather than others or the systems where parasitoid populations are well above their equilibria, for example, following successful introduction in a biological-control programme, and also some laboratory systems, i.e., the flour moth (Ephestia kü hniella)-ichneumonid (Venturia canescens) and cocoons (Loxostege sticticalis)-ichneumonid (Cryptus inornatus) systems [18]. Gakkhar and Naji [19] used the interference form proposed by Beddington [15] and DeAngelis et al [16] to explore chaos in continuous-time predator-dependent predator-prey model.…”

Dynamics on a two prey and one predator system with hybrid functional responses

“…Many researchers have studied about classical two-species continuous time systems for several functional responses such as HollingTanner type ( [3,5,16]), Beddington-DeAngelis type ( [6,12]), ratio-dependent type( [1,7]) and so on. However, it has been recognized that such classical models with two-species can describe only a small number of the phenomena that are commonly observed in nature.…”

“…Moreover, because the prey x 2 is a different species from the prey x 1 , a different functional response is needed to describe the relationship between the prey x 2 and the predator y( [2,15]). In fact, if one takes into consideration the handling time of the predator to capture the prey, one figures out that the predator has a Holling type-II functional response( [11]) and if one considers the competitions of predators each other to catch the prey, Beddington-DeAngelis type functional response should be adopted( [6,12]). Thus, in this paper, we consider the following a hybrid system with two-preys and one-predator.…”

Effect of seasonality on the dynamical behavior of an ecological system with impulsive control strategy

“…Therefore, it is quite natural to identify the functional role that seasons play on the behavior of population communities [1]. This seasonal variation can cause changes in the dynamics of an ecological system.…”