PPT-Lotka-Volterra Predator-Prey Problems

By Alexandra Silva and Dani Hoover Intro to Systems ESE 251 112409 History Alfred Lotka Vito Volterra American biophysicist Proposed the predatorprey model in 1925 Italian mathematician. Herbivory. Photo . of acorns & weevil grub from . http://www.insectimages.org/browse/detail.cfm?imgnum=0014201. Predators (active foragers, ambush predators, sit-and-wait predators, . etc. .). . By: Rachel Lopez, Lauren Powers, Sheydden Rose, & Celia Chronister. Predator. -A . predator . is an organism that hunts the prey. -The predator usually hunts, kills, and eats the prey. - It is a natural instinct to hunt after prey. Introduction. Before you begin predict what will happen to the camouflage and visual acuity scores of the prey and predator over 10 generations. . Write . a hypothesis in your lab notebook.. Game set up. Ryan Chisholm. Smithsonian Tropical Research Institute. Workshop on Critical Transitions in Complex Systems. 21 March 2012. Imperial College London. Acknowledgements. Elise . Filotas. , . Centre for Forest Research . Kelsey Vitense. “Current . Challenges for Mathematical Modelling of Cyclic . Populations” Workshop at BIRS. 11/12/13. Outline:. Motivation. . . Models. Results. Next steps. Meadow Vole. Many cyclic mammalian species undergo dramatic fluctuations in abundance in north but exhibit damped dynamics in south. Predator and Prey. The term . predator. can be used for any organism that feeds on other organisms. . Cougars . feeding on a . White-tail Deer . carcass may come to mind but we can also consider the . Predator-prey theory. Basics (. Lotka-Volterra. ). Functional responses and risk. Effect on phase-planes. Dynamics. Paradox of enrichment. Predator interference and ratio dependence. How do predators respond to prey?. . Taylor Drexinger. Lena Finkel. David Quinn. Caroline Wilkinson . Background. Schooling vs. Shoaling. How fish school. Both advantages and disadvantages. Relevance. Impact on surrounding species. Impact on surrounding environment. Final Write up is due 9/16. Planning. Purpose/Question. :. . How does the predatory and prey relationship of ______ and _______ effect the negative feedback process seen in the natural environment?. Department of Mechanical, Industrial and Manufacturing Engineering. University of Toledo. Outline of Today’s Lecture. Review. Feedback. Open Loop Systems. Closed Loop System. Positive Feedback. Negative Feedback. George Williams described Mother Nature as a “Wicked Old Witch” This seems especially appropriate for negative interactions… Competition Competition Competition (generally an intra-trophic level Year. Population of Deer. 0 40 80 120 160 200 240 260 280. Carrying capacity (K). Too many deer for the ecosystem to support. Logistic Growth. Factors?. Density dependent. Our simulation will consist of a game in which predators (students) with different size mouths (forceps) will compete to capture prey (beans) which vary in color. . There . are four predator phenotypes (different size and shaped forceps) and four prey phenotypes differing in color and size: white-large, brown-medium (+), black- medium (-), & tan-small).. Case Studies in Ecology, Biology, Medicine & . Physics. Prey Predator Models. 2. Observed Data. 3. A verbal model of predator-prey cycles:. Predators eat prey and reduce their numbers. Predators go hungry and decline in number.