Age-specific, Deterministic Model of Predator-Prey Populations: Application to Isle Royale

1973 ◽  
Vol 17 (1) ◽  
pp. 47-53 ◽  
Author(s):  
D. C. Gazis ◽  
E. W. Montroll ◽  
J. E. Ryniker
Keyword(s):  
Deterministic Model ◽  
Isle Royale ◽  
Predator Prey ◽  
Prey Populations

A Technique for Maintaining Acarine Predator-Prey Populations

1960 ◽  
Vol 92 (3) ◽  
pp. 234-237 ◽  
Author(s):  
T. Burnett
Keyword(s):  
Growth Forms ◽  
Predator Prey ◽  
Acarus Siro ◽  
Large Numbers ◽  
Cheyletus Eruditus ◽  
Prey Populations

Experiments with the growth-forms of acarine predator and prey populations require a constant supply of both species. This note describes a technique used for maintaining large numbers of Tyrophagus castellanii (Hirst) and its predator Melichares dentriticus (Berl.) and of Acarus siro L. and its predator Cheyletus eruditus (Schrank)

Testing interaction in some predator–prey populations

2007 ◽  
Vol 50 (3) ◽  
pp. 527-551 ◽  
Author(s):  
Sévérien Nkurunziza
Keyword(s):  
Predator Prey ◽  
Prey Populations

Stochastic dynamics for the solutions of a modified Holling–Tanner model with random perturbation

2014 ◽  
Vol 25 (11) ◽  
pp. 1450105 ◽  
Author(s):  
Zhenjie Liu
Keyword(s):  
Stochastic System ◽  
Stochastic Dynamics ◽  
Deterministic Model ◽  
Random Perturbation ◽  
Sufficient Conditions ◽  
Unique Positive Solution ◽  
Initial Value ◽  
Environmental Forcing ◽  
Predator Prey ◽  
Predator Prey Model

In this paper, we consider a stochastic nonautonomous predator–prey model with modified Leslie–Gower and Holling II schemes in the presence of environmental forcing. The deterministic model is the modified Holling–Tanner model which is an extension of the classical Leslie–Gower model. We show that there is a unique positive solution to the stochastic system for any positive initial value. Sufficient conditions for strong persistence in mean and extinction to the stochastic system are established.

scholarly journals Cyclic Competition and Percolation in Grouping Predator-Prey Populations

Games ◽  
2017 ◽  
Vol 8 (1) ◽  
pp. 10 ◽  
Author(s):  
Alessandra Lütz ◽  
Annette Cazaubiel ◽  
Jeferson Arenzon
Keyword(s):  
Predator Prey ◽  
Prey Populations

scholarly journals Stability Analysis and Harvesting Effort Predator Prey Populations Model Holling Type III with Maximum Profit

2021 ◽  
Author(s):  
Didiharyono D.
Keyword(s):  
Stability Analysis ◽  
Equilibrium Point ◽  
Profit Function ◽  
Model Stability ◽  
Predator Prey ◽  
Type Iii ◽  
Hurwitz Stability ◽  
Maximum Profit ◽  
Asymptotic Stable ◽  
Prey Populations

In this paper discussed stability analysis and harvesting effort at second predator prey populations model Holling type III with maximum profit. The step this research is to determine the equilibrium point, linearize the model, stability analysis of the equilibrium point, and numerical simulation. Result shows that obtained an interior point T𝐸2∗(𝑁1∗,𝑁2∗) that asymptotic stable based on Hurwitz stability test then obtained maximum profit from exploitation harvesting effort of second predator prey populations. This second populations will always exist, even though exploited with harvesting effort done by humans. Harvesting effort of second predator-prey populations given maximum profit (𝜋𝑚𝑎𝑥) that occur on critical points of surface profit function

scholarly journals Dynamic Analysis of Stochastic Lotka–Volterra Predator-Prey Model with Discrete Delays and Feedback Control

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Jinlei Liu ◽  
Wencai Zhao
Keyword(s):  
Feedback Control ◽  
Deterministic Model ◽  
Sufficient Conditions ◽  
Positive Equilibrium ◽  
Theoretical Derivation ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Discrete Delays ◽  
Positive Equilibrium Point

In this paper, a stochastic Lotka–Volterra predator-prey model with discrete delays and feedback control is studied. Firstly, the existence and uniqueness of global positive solution are proved. Further, we investigate the asymptotic property of stochastic system at the positive equilibrium point of the corresponding deterministic model and establish sufficient conditions for the persistence and extinction of the model. Finally, the correctness of the theoretical derivation is verified by numerical simulations.

Prey consumption in acarine predator-prey populations reared in the greenhouse

1971 ◽  
Vol 49 (6) ◽  
pp. 903-913 ◽  
Author(s):  
T. Burnett
Keyword(s):  
Tetranychus Urticae ◽  
Natural Enemy ◽  
Prey Density ◽  
Prey Consumption ◽  
Predator Prey ◽  
Amblyseius Fallacis ◽  
Two Factors ◽  
Prey Populations

Two factors, in addition to temperature, could affect the assessment of Amblyseius fallacis as a natural enemy of Tetranychus urticae infesting alfalfa. These are initial prey density and sampling of the predator–prey populations during daylight hours. The influence of these factors was determined by propagating predator–prey populations having different initial prey densities on alfalfa in the greenhouse, recording the subsequent variation in the numbers of the two species during daylight hours, and comparing estimates of the rates at which prey entered and were removed from the populations. A. fallacis was able to reduce prey density before webbing of the alfalfa plants occurred. Prey consumption by the predator populations was judged capable of inducing the observed decline in prey numbers.

scholarly journals The Combined Effects of Warming and Body Size on the Stability of Predator-Prey Interactions

2022 ◽  
Vol 9 ◽  
Author(s):  
Pavel Kratina ◽  
Benjamin Rosenbaum ◽  
Bruno Gallo ◽  
Elena L. Horas ◽  
Eoin J. O’Gorman
Keyword(s):  
Body Size ◽  
Trophic Interactions ◽  
Handling Time ◽  
Size Ratio ◽  
Interactive Effects ◽  
Functional Responses ◽  
Ample Evidence ◽  
Predator Prey ◽  
The Stability ◽  
Prey Populations

Environmental temperature and body size are two prominent drivers of predation. Despite the ample evidence of their independent effects, the combined impact of temperature and predator-prey body size ratio on the strength and stability of trophic interactions is not fully understood. We experimentally tested how water temperature alters the functional response and population stability of dragonfly nymphs (Cordulegaster boltonii) feeding on freshwater amphipods (Gammarus pulex) across a gradient of their body size ratios. Attack coefficients were highest for small predators feeding on small prey at low temperatures, but shifted toward the largest predators feeding on larger prey in warmer environments. Handling time appeared to decrease with increasing predator and prey body size in the cold environment, but increase at higher temperatures. These findings indicate interactive effects of temperature and body size on functional responses. There was also a negative effect of warming on the stability of predator and prey populations, but this was counteracted by a larger predator-prey body size ratio at higher temperatures. Here, a greater Hill exponent reduced feeding at low prey densities when predators were much larger than their prey, enhancing the persistence of both predator and prey populations in the warmer environment. These experimental findings provide new mechanistic insights into the destabilizing effect of warming on trophic interactions and the key role of predator-prey body size ratios in mitigating these effects.

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