2. Presentation Made by Me Pavel Lazukin

3. Competitive Predator-Prey Model

6. Why I chose this It was a requirement pass this class This was the only topic I picked

7. Assumptions Births are instantaneous There is unlimited amount of space There is unlimited supply of food for the bison

8. Predator-Prey System

10. Predator and Prey versus time t Predator and Prey

11. My Predator-Prey Model

14. Logistic Growth Model

15. Competition Model

18. = death rate of wolf pack 1 = competition between the two wolf packs and wolf pack 1 carrying capacity = birth rate of wolf pack 1 proportional to the amount of bison = death rate of wolf pack 2 = competition between the two wolf packs and wolf pack 2 carrying capacity = birth rate of wolf pack 2 proportional to the amount of bison = birth rate of bison = death of bison due to wolf pack 1 eating them = death of bison due to wolf pack 2 eating them What different things mean

19. Final Model

20. 0 5 10 15 20 0 5 10 15 40 60 80 100 120 140 160 180 W 1 W 2 B

22. Conclusion Wolfs, bison and other wolfs reach the equilibrium  So that means births and deaths seem to stop. =happily ever after

23. Another Conclusion Impossible in real life because humans and their technological advances exist The End