Dynamical behaviour of a two-predator model with prey refuge

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

doi:10.1007/s10867-013-9327-7

Cited by 36 publications

(21 citation statements)

References 35 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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“…Sarwardi dkk. [15] mengkaji model satu-prey dua-predator mengikuti model Lotka-Volterra dengan mengasumsikan spesies prey dimangsa kedua spesies predator dengan menggunakan fungsi respon Holling tipe II serta adanya kompetisi antara kedua spesies predator. Kajian yang serupa dilakukan oleh Savitri dkk.…”

Section: Pendahuluanunclassified

Bifurkasi Hopf pada model prey-predator-super predator dengan fungsi respon yang berbeda

Savitri

Panigoro

2020

Jambura J. Biomath.

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This article discusses the one-prey, one-predator, and the super predator model with different types of functional response. The rate of prey consumption by the predator follows Holling type I functional response and the rate of predator consumption by the super predator follows Holling type II functional response. We identify the existence and stability of critical points and obtain that the extinction of all population points is always unstable, and the other two are conditionally stable i.e., the super predator extinction point and the co-existence point. Furthermore, we give the numerical simulations to describe the bifurcation diagram and phase portraits of the model. The bifurcation diagram is obtained by varying the parameter of the conversion rate of predator biomass into a new super-predator which gives forward and Hopf bifurcation. The forward bifurcation occurs around the super predator extinction point while Hopf bifurcation occurs around the interior of the model. Based on the terms of existence and numerical simulation, we confirm that the conversion rate of predator biomass into a new super-predator controls the dynamics of the system and maintains the existence of predator.

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“…The concept of prey refuge is adopted from the study of Sahabuddin Sarwardi et al [6]. The concept of control is adopted from the study of Li Yi-min and Zhu Yan [7].…”

Section: My(t−τ )+X(t−τ ) )mentioning

confidence: 99%

The Control for Prey–Predator System with Time Delay and Refuge

Kant

Kumar

2015

Springer Proceedings in Mathematics &Amp; Statistics

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In this paper, a prey-predator model with control and refuge is proposed and analyzed. Linear functional response is used. Time delay is the gestation period. Linear stability analysis is performed. The stability result is proved by assuming a suitable Lyapunov function. The main contribution of this paper is to propose a new model and derive an expression for the control of model. The control has many applications in sustainable development process. This research is not a case study, hence real data is not available for numerical simulation. However, the system is simulated by using an artificial set of parameters to validate our theoretical formulation.

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Dynamical behaviour of a two-predator model with prey refuge

Cited by 36 publications

References 35 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

Bifurkasi Hopf pada model prey-predator-super predator dengan fungsi respon yang berbeda

The Control for Prey–Predator System with Time Delay and Refuge

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