Habitat complexity mediates the predator–prey space race

Ecology ◽  
2019 ◽  
Vol 100 (7) ◽  
Author(s):  
Justine A. Smith ◽  
Emiliano Donadio ◽  
Jonathan N. Pauli ◽  
Michael J. Sheriff ◽  
Owen R. Bidder ◽  
...  
2015 ◽  
Vol 282 (1801) ◽  
pp. 20142121 ◽  
Author(s):  
Henrik Sjödin ◽  
Åke Brännström ◽  
Göran Englund

We derive functional responses under the assumption that predators and prey are engaged in a space race in which prey avoid patches with many predators and predators avoid patches with few or no prey. The resulting functional response models have a simple structure and include functions describing how the emigration of prey and predators depend on interspecific densities. As such, they provide a link between dispersal behaviours and community dynamics. The derived functional response is general but is here modelled in accordance with empirically documented emigration responses. We find that the prey emigration response to predators has stabilizing effects similar to that of the DeAngelis–Beddington functional response, and that the predator emigration response to prey has destabilizing effects similar to that of the Holling type II response. A stability criterion describing the net effect of the two emigration responses on a Lotka–Volterra predator–prey system is presented. The winner of the space race (i.e. whether predators or prey are favoured) is determined by the relationship between the slopes of the species' emigration responses. It is predicted that predators win the space race in poor habitats, where predator and prey densities are low, and that prey are more successful in richer habitats.


2020 ◽  
Vol 30 (06) ◽  
pp. 2050082
Author(s):  
Zhihui Ma

A delay-induced nonautonomous predator–prey system with variable habitat complexity is proposed based on mathematical and ecological issues, and this system is more realistic than the published models. Firstly, the permanence of the nonautonomous predation system is studied and some sufficient conditions are obtained. Secondly, the dynamical behaviors of the corresponding autonomous predation system are investigated, including the positivity and boundedness, and local and global stabilities. Thirdly, the properties of Hopf bifurcation of the autonomous predation system without/with delay are investigated and the explicit formulas which determine the stability and the direction of periodic solutions are obtained. Finally, a numerical example is given to test our theoretical results.


Author(s):  
Guangjie Li ◽  
Qigui Yang

This paper investigates a stochastic Holling II predator-prey model with Lévy jumps and habit complexity. It is first proved that the established model admits a unique global positive solution by employing the Lyapunov technique, and the stochastic ultimate boundedness of this positive solution is also obtained. Sufficient conditions are established for the extinction and persistence of this solution. Moreover, some numerical simulations are carried out to support the obtained results.


PLoS ONE ◽  
2011 ◽  
Vol 6 (3) ◽  
pp. e17050 ◽  
Author(s):  
Tyler B. Muhly ◽  
Christina Semeniuk ◽  
Alessandro Massolo ◽  
Laura Hickman ◽  
Marco Musiani

2010 ◽  
Vol 139 (4) ◽  
pp. 1004-1013 ◽  
Author(s):  
Michael J. Weber ◽  
John M. Dettmers ◽  
David H. Wahl ◽  
Sergiusz J. Czesny

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