Analysis of multi species ecological and evolutionary dynamics
Download
1 / 13

ANALYSIS OF MULTI-SPECIES ECOLOGICAL AND EVOLUTIONARY DYNAMICS - PowerPoint PPT Presentation


  • 110 Views
  • Uploaded on

ANALYSIS OF MULTI-SPECIES ECOLOGICAL AND EVOLUTIONARY DYNAMICS. 3. The Rosenzweig-MacArthur prey -predator model (S. Rinaldi)

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' ANALYSIS OF MULTI-SPECIES ECOLOGICAL AND EVOLUTIONARY DYNAMICS' - guido


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Analysis of multi species ecological and evolutionary dynamics

ANALYSIS OF MULTI-SPECIES ECOLOGICAL AND EVOLUTIONARY DYNAMICS

3.

The Rosenzweig-MacArthurprey-predator model (S. Rinaldi)

Evidence of prey-predator cycles in Nature. Analysis of the Rosenzweig-MacArthurprey-predator model. Predator extinction, stationarycoexistence, and cycliccoexistence. Hopfbifurcation.

Furtherreadings

Analysis of EvolutionaryProcesses, Princeton Univ. Press, 2008, pp. 256-258

Ecole Normale Supérieure, Paris

December 9-13, 2013


Boreal forest ecosystem
Boreal DYNAMICSforestecosystem


Canadian lynx and snowshoe h are
Canadian Lynx and DYNAMICSSnowshoeHare


Prey predator models
Prey DYNAMICS-predator models


Most common assumptions
Most DYNAMICS common assumptions


Derivation of holling type ii
Derivation DYNAMICS of Hollingtype II


The rosenzweig macarthur model
The DYNAMICSRosenzweig-MacArthur model


Remarks
Remarks DYNAMICS


Remarks DYNAMICS


Low efficiency
Low DYNAMICSefficiency


Medium efficiency
Medium DYNAMICSEfficiency

Transcriticalbifurcation


High efficiency
High DYNAMICSefficiency

Hopf


Conclusions
Conclusions DYNAMICS

III

H

II

TC

I

For eachvalue of the efficiencythereis a uniquemode of behavior:

I Predator extinction (lowefficiency)

II Stationarycoexistence (medium efficiency)

III Cycliccoexistence (high efficiency)


ad