Spatiotemporal patterns provoked by environmental variability in a predator–prey model

Fras, Maja; Gosak, Marko

doi:10.1016/j.biosystems.2013.09.004

Cited by 5 publications

(2 citation statements)

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“…And it is believed that climate effect can enhance the likelihood of catastrophic shifts to the desert state or control the transitions between preferential states in bistable dynamics [34][35][36]. Furthermore, in [37], it was shown that static disorder in terms of environmental variability had influence on the pattern dynamics in a spatially ecological system. Then one may want to check whether this phenomenon can occur in vegetation systems.…”

Section: Discussionmentioning

confidence: 99%

Rich Spatiotemporal Dynamics of a Vegetation Model with Noise and Periodic Forcing

Jian-zhong

2014

Discrete Dynamics in Nature and Society

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The growth of vegetation is undeniably subject to random fluctuations arising from environmental variability and internal effects due to periodic forcing. To address these issues, we investigated a spatial version of a vegetation model including seasonal rainfall, noise, and diffusion. By numerical simulations, we found that noise can induce the pattern transition from stationary pattern to other patterns. More specifically, when noise intensity is small, patch invasion is induced. As noise intensity further increases, chaotic patterns emerge. For the system with noise and seasonal rainfall, it exhibits frequency-locking phenomena. Patterns transition may be a warning signal for the onset of desertification and thus the obtained results may provide some measures to protect vegetation, such as reducing random factors or changing irrigation on vegetation.

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Section: Discussionmentioning

confidence: 99%

Rich Spatiotemporal Dynamics of a Vegetation Model with Noise and Periodic Forcing

Jian-zhong

2014

Discrete Dynamics in Nature and Society

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“…In future, some more interesting researches are expected to expand by considering other intricate strategies taken by predators which would raise diverse ESS situations depending on different levels of prey densities, thus leading to diversification of the system. In addition, motivated by Huffaker's experiments [38], it has been documented that the distribution of prey and predators in the spatial configuration as well as the dispersal behaviors are all important factors to influence the dynamics of the predator-prey system; these factors play an important role in understanding the emergence of biodiversity and the stability of ecosystems (i.e., [39][40][41][42]). From this point of view, combining spatial effect into our model also deserves research, further studies are expected along this direction.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Effects of Behavioral Tactics of Predators on Dynamics of a Predator-Prey System

Zhang

Xie

et al. 2014

Advances in Mathematical Physics

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A predator-prey model incorporating individual behavior is presented, where the predator-prey interaction is described by a classical Lotka-Volterra model with self-limiting prey; predators can use the behavioral tactics of rock-paper-scissors to dispute a prey when they meet. The predator behavioral change is described by replicator equations, a game dynamic model at the fast time scale, whereas predator-prey interactions are assumed acting at a relatively slow time scale. Aggregation approach is applied to combine the two time scales into a single one. The analytical results show that predators have an equal probability to adopt three strategies at the stable state of the predator-prey interaction system. The diversification tactics taking by predator population benefits the survival of the predator population itself, more importantly, it also maintains the stability of the predator-prey system. Explicitly, immediate contest behavior of predators can promote density of the predator population and keep the preys at a lower density. However, a large cost of fighting will cause not only the density of predators to be lower but also preys to be higher, which may even lead to extinction of the predator populations.

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Proper spatial heterogeneities expand the regime of scale-free behavior in a lattice of excitable elements

Marhl

Gosak

2019

Phys. Rev. E

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Spatiotemporal patterns provoked by environmental variability in a predator–prey model

Cited by 5 publications

References 50 publications

Rich Spatiotemporal Dynamics of a Vegetation Model with Noise and Periodic Forcing

Rich Spatiotemporal Dynamics of a Vegetation Model with Noise and Periodic Forcing

Effects of Behavioral Tactics of Predators on Dynamics of a Predator-Prey System

Proper spatial heterogeneities expand the regime of scale-free behavior in a lattice of excitable elements

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