Time Lag in Prey-Predator Population Models

Ecology ◽  
1957 ◽  
Vol 38 (1) ◽  
pp. 136-139 ◽  
Author(s):  
Peter J. Wangersky ◽  
W. J. Cunningham
Keyword(s):  
Time Lag ◽  
Population Models ◽  
Predator Population

scholarly journals Prey-Predator Interactions in Two and Three Species Population Models

2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Arild Wikan ◽  
Ørjan Kristensen
Keyword(s):  
Basin Of Attraction ◽  
Chaotic Regime ◽  
Population Models ◽  
The Other ◽  
Predator Population ◽  
Top Predator ◽  
Multiple Attractors ◽  
Species Population ◽  
Predator Interactions ◽  
Qualitative Structure

Discrete nonlinear two and three species prey-predator models are considered. Focus is on stability and nonstationary behaviour. Regarding the two species model, depending on the fecundity of the predator, we show that the transfer from stability to instability goes through either a supercritical flip or a supercritical Neimark-Sacker bifurcation and moreover that there exist multiple attractors in the chaotic regime, one where both species coexist and another where the predator population has become extinct. Sizes of basin of attraction for these possibilities are investigated. Regarding the three species models, we show that the dynamics may differ whether both predators prey upon the prey or if the top predator preys upon the other predator only. Both the sizes of stable parameter regions as well as the qualitative structure of attractors may be different.

scholarly journals Dynamics of a Predator-Prey Population in the Presence of Resource Subsidy under the Influence of Nonlinear Prey Refuge and Fear Effect

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-38
Author(s):  
Sudeshna Mondal ◽  
G. P. Samanta ◽  
Juan J. Nieto
Keyword(s):  
Equilibrium Points ◽  
Time Lag ◽  
Sufficient Conditions ◽  
Food Sources ◽  
Prey Population ◽  
Predator Population ◽  
Input Rate ◽  
Prey Refuge ◽  
Predator Prey ◽  
The Impact

In this work, our aim is to investigate the impact of a non-Kolmogorov predator-prey-subsidy model incorporating nonlinear prey refuge and the effect of fear with Holling type II functional response. The model arises from the study of a biological system involving arctic foxes (predator), lemmings (prey), and seal carcasses (subsidy). The positivity and asymptotically uniform boundedness of the solutions of the system have been derived. Analytically, we have studied the criteria for the feasibility and stability of different equilibrium points. In addition, we have derived sufficient conditions for the existence of local bifurcations of codimension 1 (transcritical and Hopf bifurcation). It is also observed that there is some time lag between the time of perceiving predator signals through vocal cues and the reduction of prey’s birth rate. So, we have analyzed the dynamical behaviour of the delayed predator-prey-subsidy model. Numerical computations have been performed using MATLAB to validate all the analytical findings. Numerically, it has been observed that the predator, prey, and subsidy can always exist at a nonzero subsidy input rate. But, at a high subsidy input rate, the prey population cannot persist and the predator population has a huge growth due to the availability of food sources.

Time Lag in Population Models

1957 ◽  
Vol 22 (0) ◽  
pp. 329-338 ◽  
Author(s):  
P. J. Wangersky ◽  
W. J. Cunningham
Keyword(s):  
Time Lag ◽  
Population Models

scholarly journals An Analysis of Discrete Stage-Structured Prey and Prey-Predator Population Models

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Arild Wikan
Keyword(s):  
Life History ◽  
Life Histories ◽  
Chaotic Regime ◽  
Population Models ◽  
Predation Pressure ◽  
Predator Population ◽  
Chaotic Oscillations ◽  
Prey Model ◽  
Wide Range

Discrete stage-structured prey and prey-predator models are considered. Regarding the former, we prove that the models at hand are permanent (i.e., the population will neither go extinct nor exhibit explosive oscillations) and, moreover, that the transfer from stability to nonstationary behaviour always goes through a supercritical Neimark−Sacker bifurcation. The prey model covers species that possess a wide range of different life histories. Predation pressure may both stabilize and destabilize the prey dynamics but the strength of impact is closely related to life history. Indeed, if the prey possesses a precocious semelparous life history and exhibits chaotic oscillations, it is shown that increased predation may stabilize the dynamics and also, in case of large predation pressure, transfer the population to another chaotic regime.

scholarly journals Using multiple data types and integrated population models to improve our knowledge of apex predator population dynamics

2017 ◽  
Vol 7 (22) ◽  
pp. 9531-9543 ◽  
Author(s):  
Florent Bled ◽  
Jerrold L. Belant ◽  
Lawrence J. Van Daele ◽  
Nathan Svoboda ◽  
David Gustine ◽  
...  
Keyword(s):  
Population Dynamics ◽  
Population Models ◽  
Predator Population ◽  
Apex Predator ◽  
Data Types ◽  
Multiple Data

Cross-Lagged Relationships Between Self-Esteem, Self-Construal, and Happiness in a Three-Wave Longitudinal Study

2019 ◽  
Vol 40 (3) ◽  
pp. 177-185
Author(s):  
Daniela Moza ◽  
Laurențiu Maricuțoiu ◽  
Alin Gavreliuc
Keyword(s):  
Structural Equation ◽  
Time Lag ◽  
Self Esteem ◽  
Equation Modeling ◽  
Future Research ◽  
Cross Sectional ◽  
Self Construal ◽  
Self Worth ◽  
Practical Implications ◽  
Independent Person

Abstract. Previous research established that an independent construal of the self is associated with higher self-esteem, which, in turn, is associated with increased happiness. Regarding the directionality of these relationships, theoretical arguments have suggested that self-construal precedes self-esteem and that self-esteem precedes happiness. However, most research in this area is cross-sectional, thus limiting any conclusions about directionality. The present study tested these relationships in 101 Romanian undergraduates using a 3-wave cross-lagged design with a 6-month time lag between every two waves. Structural equation modeling analyses revealed that self-esteem is an antecedent of both happiness and dimensions of independent self-construal (i.e., consistency vs. variability and self-expression vs. harmony). In other words, one’s positive evaluation of self-worth precedes one’s self-perception as being a happy and independent person. The findings are discussed with respect to the theoretical and practical implications, along with limitations and suggestions for future research.

Relationships Between Bidirectional Work-Family Interactions and Psychological Well-Being

2014 ◽  
Vol 13 (2) ◽  
pp. 87-96 ◽  
Author(s):  
Xi-Chao Zhang ◽  
Oi Ling Siu ◽  
Jing Hu ◽  
Weiwei Zhang
Keyword(s):  
Family Conflict ◽  
Structural Equation ◽  
Time Lag ◽  
Well Being ◽  
Equation Modeling ◽  
Family Interactions ◽  
Work Family Conflict ◽  
Psychological Well Being ◽  
Direct Model ◽  
Work Family

This study investigated the direct, reversed, and reciprocal relationships between bidirectional work-family conflict/work-family facilitation and psychological well-being (PWB). We administered a three-wave questionnaire survey to 260 married Chinese employees using a time lag of one month. Cross-lagged structural equation modeling analysis was conducted and demonstrated that the direct model was better than the reversed causal or the reciprocal model. Specifically, work-to-family conflict at Time 1 negatively predicted PWB at Time 2, and work-to-family conflict at Time 2 negatively predicted PWB at Time 3; further, work-to-family facilitation at Time 1 positively predicted PWB at Time 2. In addition, family-to-work facilitation at Time 1 positively predicted PWB at Time 2, and family-to-work conflict at Time 2 negatively predicted PWB at Time 3.

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