scholarly journals Ecological theory of mutualism: Robust patterns of stability and thresholds in two‐species population models

2021 ◽  
Author(s):  
Kayla R. S. Hale ◽  
Fernanda S. Valdovinos
Keyword(s):  
Ecological Theory ◽  
Population Models ◽  
Species Population

scholarly journals STUDY OF SINGLE-SPECIES POPULATION MODELS

2020 ◽  
pp. 161-166
Author(s):  
Marthak Rutu
Keyword(s):  
Spatial Heterogeneity ◽  
Environmental Effects ◽  
Age Structure ◽  
Single Species ◽  
Research Paper ◽  
Population Models ◽  
Deterministic Models ◽  
One Dimensional ◽  
Species Population ◽  
Single Species Population

In this research paper one dimensional population models developed centuries ago shows that growth and/decay of single homogeneous populations But environmental effects spatial heterogeneity or age-structure deterministic models prevailing single species population models.

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.

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