A logistic two-sex model with mate-finding Allee effect

2019 ◽  
Vol 12 (8) ◽  
pp. 1343-1355
Author(s):  
Elizabeth Anderson ◽  
Daniel Maxin ◽  
Jared Ott ◽  
Gwyneth Terrett
Keyword(s):  
Allee Effect ◽  
Mate Finding

scholarly journals IPM strategies to a discrete switching predator-prey model induced by a mate-finding Allee effect

2019 ◽  
Vol 13 (1) ◽  
pp. 586-605 ◽  
Author(s):  
Wenjie Qin ◽  
Xuewen Tan ◽  
Xiaotao Shi ◽  
Changcheng Xiang
Keyword(s):  
Allee Effect ◽  
Mate Finding ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

scholarly journals Mate-finding allee effect in spruce budworm population dynamics

2012 ◽  
Vol 146 (1) ◽  
pp. 112-122 ◽  
Author(s):  
Jacques Régnière ◽  
Johanne Delisle ◽  
Deepa S. Pureswaran ◽  
Richard Trudel
Keyword(s):  
Population Dynamics ◽  
Allee Effect ◽  
Spruce Budworm ◽  
Mate Finding

scholarly journals Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Ruiwen Wu ◽  
Xiuxiang Liu
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Allee Effect ◽  
Blow Up ◽  
Mate Finding ◽  
Predator Prey ◽  
Stability Properties ◽  
Prey System ◽  
The Stability ◽  
High Possibility

We consider a ratio-dependent predator-prey system with a mate-finding Allee effect on prey. The stability properties of the equilibria and a complete bifurcation analysis, including the existence of a saddle-node, a Hopf bifurcation, and, a Bogdanov-Takens bifurcations, have been proved theoretically and numerically. The blow-up method has been applied to investigate the structure of a neighborhood of the origin. Our mathematical results show the mate-finding Allee effect can reduce the complexity of system behaviors by making the complicated equilibrium less complicated, and it can be a destabilizing force as well, which makes the system has a high possibility of being threatened with extinction in ecology.

scholarly journals Evolution of mate-finding Allee effect in prey

2018 ◽  
Vol 441 ◽  
pp. 9-18 ◽  
Author(s):  
Luděk Berec ◽  
Veronika Bernhauerová ◽  
Barbara Boldin
Keyword(s):  
Allee Effect ◽  
Mate Finding

scholarly journals Contrasting effects of ecological and evolutionary processes on range expansions and shifts

2021 ◽  
Author(s):  
Christopher Weiss-Lehman ◽  
Allison Shaw
Keyword(s):  
Allee Effect ◽  
Extinction Risk ◽  
Range Shifts ◽  
Evolutionary Processes ◽  
Ecological Processes ◽  
Mate Finding ◽  
Factors Influencing ◽  
Spatial Sorting ◽  
And Shifts ◽  
Dispersal Evolution

Research has conclusively demonstrated the potential for dispersal evolution in range expansions and shifts through a process termed spatial sorting. However, the degree of dispersal evolution observed has varied substantially among organisms. Further, it is unknown how the factors influencing dispersal evolution might impact other ecological processes at play. We use an individual-based model to investigate the effects of the underlying genetics of dispersal and mode of reproduction in range expansions and shifts. Spatial sorting behaves similarly to natural selection in that dispersal evolution increases with sexual selection and loci number. Contrary to our predictions, however, increased dispersal does not always improve a population’s ability to track changing conditions. The mate finding Allee effect inherent to sexual reproduction increases extinction risk during range shifts, counteracting the beneficial effect of increased dispersal evolution. Our results demonstrate the importance of considering both ecological and evolutionary processes for understanding range expansions and shifts.

scholarly journals Sperm storage reduces the strength of the mate‐finding Allee effect

2020 ◽  
Vol 10 (4) ◽  
pp. 1938-1948 ◽  
Author(s):  
María V. Jiménez‐Franco ◽  
Andrés Giménez ◽  
Roberto C. Rodríguez‐Caro ◽  
Ana Sanz‐Aguilar ◽  
Francisco Botella ◽  
...  
Keyword(s):  
Allee Effect ◽  
Sperm Storage ◽  
Mate Finding
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