Analysis of a competitive prey–predator system with a prey refuge

Sarwardi, Sahabuddin; Mandal, Prashanta Kumar; Ray, Santanu

doi:10.1016/j.biosystems.2012.08.002

Cited by 62 publications

(21 citation statements)

References 20 publications

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“…Within predator–prey relationships, prey size refuge effects may also influence trophic dynamics and mediate population stability (Sih, ; Emmerson & Raffaelli, ; Sarwardi et al ., , ). In turn, these factors can lead to peak interaction strengths at intermediate predator–prey body size ratios (Barrios‐O'Neill et al ., ; Brose et al ., ).…”

Section: Introductionmentioning

confidence: 99%

Prey size and predator density modify impacts by natural enemies towards mosquitoes

Dalal

Cuthbert

Dick

et al. 2019

Ecological Entomology

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1. Interactions between multiple predators can modify prey risk and profoundly alter ecological community dynamics. Further, ontogenic prey size changes are known to mediate prey risk through refuge effects. Understandings of these biotic factors is important for robust quantifications of natural enemy effects on target species, yet their combined influence lacks investigation.2. Functional responses were used to quantify the predatory impacts of Notonecta glauca (water boatman; Ng) and Gammarus pulex (river shrimp; Gp) towards four different larval instars of Culex pipiens in container-style habitats. Using conspecific pairs of predators, multiple predator effects (MPEs) of both predator species were examined across larval prey sizes, and prey preference tests were applied to examine prey selectivity across predator-prey body size ratios.3. Both predators were able to feed on C. pipiens across their larval ontogeny; however, Ng consumed significantly more larvae than Gp. Functional responses of Ng were typically Type IIs, whereas Gp trended towards sigmoidal Type IIIs. Predation by pairs of Ng and Gp showed independent MPEs towards first-, third-, and fourth-instar stages (except predation by Gp at higher densities of fourth-instar) stages, whereas, for second-instar stages, Ng showed synergistic MPEs and Gp showed antagonistic MPEs. Both predators preferred late instar mosquitoes (Ng: fourth instar; Gp: third instar). These preferences reflected predator:prey weight-length ratios, showing that relative sizes of predators and prey are important factors in prey selectivity.4. The results obtained in the present study demonstrate that MPEs, combined with intraspecific prey preferences, may modulate trophic interactions within ecosystems. Therefore, such effects should be increasingly considered to further the understanding of agent efficacies.

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Section: Introductionmentioning

confidence: 99%

Prey size and predator density modify impacts by natural enemies towards mosquitoes

Dalal

Cuthbert

Dick

et al. 2019

Ecological Entomology

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“…The effect of the use of refuges by the prey population on the temporal dynamics of a predator-prey model has been investigated by many eminent researchers [5,18,21,22,28,36]. However, to the best of our knowledge, little attention has been paid to the dynamics of a spatiotemporal predator-prey model incorporating prey refuges.…”

Section: Introductionmentioning

confidence: 99%

Existence of spatial patterns in reaction–diffusion systems incorporating a prey refuge

Guin¹,

Chakravarty

Mandal

2015

NAMC

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In real-world ecosystem, studies on the mechanisms of spatiotemporal pattern formation in a system of interacting populations deserve special attention for its own importance in contemporary theoretical ecology. The present investigation deals with the spatial dynamical system of a two-dimensional continuous diffusive predator-prey model involving the influence of intra-species competition among predators with the incorporation of a constant proportion of prey refuge. The linear stability analysis has been carried out and the appropriate condition of Turing instability around the unique positive interior equilibrium point of the present model system has been determined. Furthermore, the existence of the various spatial patterns through diffusion-driven instability and the Turing space in the spatial domain have been explored thoroughly. The results of numerical simulations reveal the dynamics of population density variation in the formation of isolated groups, following spotted or stripe-like patterns or coexistence of both the patterns. The results of the present investigation also point out that the prey refuge does have significant influence on the pattern formation of the interacting populations of the model under consideration.

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“…Otolithoides pama and increases gradually, the oscillatory nature of system (3) immediately becomes stable aroundE 3 and it remains up to the refuge value m 2 = 61.5 %. However, further increment of the refuge value m 2 (very small) makes system (3) oscillatory (unstable) around E 2 , which was not found by Sarwardi et al [38]. All these percentages of refuge values used for Figs.…”

Section: Conclusion and Commentsmentioning

confidence: 72%

Dynamical behaviour of a two-predator model with prey refuge

Sarwardi

Mandal²,

Ray

2013

J Biol Phys

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A three-component model consisting on one-prey and two-predator populations is considered with a Holling type II response function incorporating a constant proportion of prey refuge. We also consider the competition among predators for their food (prey) and shelter. The essential mathematical features of the model have been analyzed thoroughly in terms of stability and bifurcations arising in some selected situations. Threshold values for some parameters indicating the feasibility and stability conditions of some equilibria are determined. The range of significant parameters under which the system admits different types of bifurcations is investigated. Numerical illustrations are performed in order to validate the applicability of the model under consideration.

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Analysis of a competitive prey–predator system with a prey refuge

Cited by 62 publications

References 20 publications

Prey size and predator density modify impacts by natural enemies towards mosquitoes

Prey size and predator density modify impacts by natural enemies towards mosquitoes

Existence of spatial patterns in reaction–diffusion systems incorporating a prey refuge

Dynamical behaviour of a two-predator model with prey refuge

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