#### Clone of Isle Royale: Predator Prey Interactions

##### Alhambra

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

Experiment with adjusting the initial number of moose and wolves on the island.

Experiment with adjusting the initial number of moose and wolves on the island.

- 4 years 1 month ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Kelsey Hasler

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

Experiment with adjusting the initial number of moose and wolves on the island.

Experiment with adjusting the initial number of moose and wolves on the island.

- 3 years 1 month ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Jacob Koors

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

Experiment with adjusting the initial number of moose and wolves on the island.

Experiment with adjusting the initial number of moose and wolves on the island.

- 2 years 8 months ago

#### Clone of Clone of Isle Royale: Predator Prey Interactions

##### Bahar Sayed

Experiment with adjusting the initial number of moose and wolves on the island.

- 4 years 8 months ago

#### Clone of Mat375: Isle Royale: Predator Prey Interactions

##### Maria E Ruwe

It seems that I've made a mess of mine! But it's a mess with a purpose....

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

Experiment with adjusting the initial number of moose and wolves on the island.

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

Experiment with adjusting the initial number of moose and wolves on the island.

- 2 years 8 months ago

#### Clone of Mat375: Isle Royale: Predator Prey Interactions

##### Parker Kain

It seems that I've made a mess of mine! But it's a mess with a purpose....

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

Experiment with adjusting the initial number of moose and wolves on the island.

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

Experiment with adjusting the initial number of moose and wolves on the island.

- 2 years 8 months ago

#### Clone of Yellowstone Bison & Wolf Model

##### Hans Maulwurf

This model illustrates predator prey interactions using real-life data of bison and wolf populations at Yellowstone National Park.

- 4 years 2 months ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Lily Xia

Experiment with adjusting the initial number of moose and wolves on the island.

- 1 year 6 months ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Maria McMahon

Experiment with adjusting the initial number of moose and wolves on the island.

- 2 years 8 months ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Robert Antoine

Experiment with adjusting the initial number of moose and wolves on the island.

- 3 years 1 month ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Andrew E Long

Experiment with adjusting the initial number of moose and wolves on the island.

- 2 years 8 months ago

#### Clone of Isle Royale: Predator/Prey Model for Moose and Wolves

##### Benjamin Nguyen

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale. It was "cloned" from a model that InsightMaker provides to its users, at

https://insightmaker.com/insight/2068/Isle-Royale-Predator-Prey-Interactions

Thanks Scott Fortmann-Roe.

I've created a Mathematica file that replicates the model, at

http://www.nku.edu/~longa/classes/2018spring/mat375/mathematica/Moose-n-Wolf-InsightMaker.nb

It allows one to experiment with adjusting the initial number of moose and wolves on the island.

I used steepest descent in Mathematica to optimize the parameters, with my objective data being the ratio of wolves to moose. You can try my (admittedly) kludgy code, at

http://www.nku.edu/~longa/classes/2018spring/mat375/mathematica/Moose-n-Wolf-InsightMaker-BestFit.nb

{WolfBirthRateFactorStart,

WolfDeathRateStart,

MooseBirthRateStart,

MooseDeathRateFactorStart,

moStart,

woStart} =

{0.000267409,

0.239821,

0.269755,

0.0113679,

591,

23.};

https://insightmaker.com/insight/2068/Isle-Royale-Predator-Prey-Interactions

Thanks Scott Fortmann-Roe.

I've created a Mathematica file that replicates the model, at

http://www.nku.edu/~longa/classes/2018spring/mat375/mathematica/Moose-n-Wolf-InsightMaker.nb

It allows one to experiment with adjusting the initial number of moose and wolves on the island.

I used steepest descent in Mathematica to optimize the parameters, with my objective data being the ratio of wolves to moose. You can try my (admittedly) kludgy code, at

http://www.nku.edu/~longa/classes/2018spring/mat375/mathematica/Moose-n-Wolf-InsightMaker-BestFit.nb

{WolfBirthRateFactorStart,

WolfDeathRateStart,

MooseBirthRateStart,

MooseDeathRateFactorStart,

moStart,

woStart} =

{0.000267409,

0.239821,

0.269755,

0.0113679,

591,

23.};

- 1 year 3 months ago

#### Clone of Mat375: Isle Royale: Predator Prey Interactions

##### Allison Zembrodt

It seems that I've made a mess of mine! But it's a mess with a purpose....

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

Experiment with adjusting the initial number of moose and wolves on the island.

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

Experiment with adjusting the initial number of moose and wolves on the island.

- 2 years 8 months ago

#### Clone of Final Midterm Student version of A More Realistic Model of Isle Royale: Predator Prey Interactions

##### Jacob Koors

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

We incorporate logistic growth into the moose dynamics, and we replace the death flow of the moose with a kill rate modeled from the kill rate data found on the Isle Royale website.

I start with these parameters:

Wolf Death Rate = 0.15

Wolf Birth Rate = 0.0187963

Moose Birth Rate = 0.4

Carrying Capacity = 2000

Initial Moose: 563

Initial Wolves: 20

I used RK-4 with step-size 0.1, from 1959 for 60 years.

The moose birth flow is logistic, MBR*M*(1-M/K)

Moose death flow is Kill Rate (in Moose/Year)

Wolf birth flow is WBR*Kill Rate (in Wolves/Year)

Wolf death flow is WDR*W

We incorporate logistic growth into the moose dynamics, and we replace the death flow of the moose with a kill rate modeled from the kill rate data found on the Isle Royale website.

I start with these parameters:

Wolf Death Rate = 0.15

Wolf Birth Rate = 0.0187963

Moose Birth Rate = 0.4

Carrying Capacity = 2000

Initial Moose: 563

Initial Wolves: 20

I used RK-4 with step-size 0.1, from 1959 for 60 years.

The moose birth flow is logistic, MBR*M*(1-M/K)

Moose death flow is Kill Rate (in Moose/Year)

Wolf birth flow is WBR*Kill Rate (in Wolves/Year)

Wolf death flow is WDR*W

- 2 years 7 months ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Jacob Koors

Experiment with adjusting the initial number of moose and wolves on the island.

- 2 years 8 months ago

#### Clone of Predator Prey Interactions

##### Lorena Cadavid

This model illustrates predator prey interactions using real-life data of rabbit and fox populations in Chile

Experiment with adjusting the initial number of moose and wolves on the island.

Experiment with adjusting the initial number of moose and wolves on the island.

- 3 years 5 months ago

#### Clone of Key Concepts in Systems Thinking : Predator Prey Interactions

##### Timotius Siswanto

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

- 1 year 3 months ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Leah Gillespie

Experiment with adjusting the initial number of moose and wolves on the island.

- 2 years 8 months ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Mary Patterson

Experiment with adjusting the initial number of moose and wolves on the island.

- 4 years 2 months ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Terra Ficke

Experiment with adjusting the initial number of moose and wolves on the island.

- 2 years 8 months ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Aulia Anindia

Experiment with adjusting the initial number of moose and wolves on the island.

- 1 year 8 months ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Christopher Milesky

Experiment with adjusting the initial number of moose and wolves on the island.

- 2 years 8 months ago

#### Clone of Predator and Prey model

##### Jenny Pham

Experiment with adjusting the initial number of moose and wolves on the island.

- 1 year 3 months ago

#### Clone of Isle Royale: Predator Prey Interactions

##### Emily

Experiment with adjusting the initial number of moose and wolves on the island.

- 2 years 3 months ago