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

##### Allison Zembrodt

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.

- 1 year 9 months ago

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

##### anurak kittisaksuntorn

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 6 months ago

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

##### T. Seemann

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 4 months ago

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

##### Chris Kent

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

- 3 years 9 months ago

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

##### Christopher Milesky

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

- 1 year 8 months ago

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

##### a;sdlkgj

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

- 3 years 9 months ago

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

##### Clay Frink

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

- 1 year 9 months ago

#### Clone of Clone of (3) Copy of "Isle Royale: Predator Prey Interactions"

##### ninel ninel

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

- 4 years 3 weeks ago

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

##### Danielle Christine Miles

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

- 2 years 2 months ago

#### Clone of Clone of (3) Copy of "Isle Royale: Predator Prey Interactions"

##### Renzo Alberto Matienzo Bernabé

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

- 4 years 3 weeks ago

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

##### Terra Ficke

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.

- 1 year 9 months ago

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

##### Allison Zembrodt

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 7 months ago

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

##### Soren Schultz

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

- 3 years 10 months ago

#### Clone of Clone of (3) Copy of "Isle Royale: Predator Prey Interactions"

##### Pia Scholz

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

- 4 years 3 weeks ago

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

##### Katie Kelly

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

- 3 years 9 months ago

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

##### Long Yee Chiu

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

- 3 years 1 day ago

#### Clone of Clone of (3) Copy of "Isle Royale: Predator Prey Interactions"

##### Marie Hartinger

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

- 4 years 3 weeks ago

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

##### Mehran Ali

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

- 2 years 2 days ago

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

##### Sarah Rayder

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

- 3 years 3 months ago

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

##### andrew yang

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

- 3 years 10 months ago

#### Clone of Clone of Food Security and Climate Change in East Africa

##### Stefan Koester

- 3 years 6 days ago

#### Clone of Wolf-Moose Population (version 1) Technology

##### Brooke Heinonen

- 1 year 10 months ago

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

##### Sally Dufek

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

- 1 year 8 months ago

#### Clone of Clone of (3) Copy of "Isle Royale: Predator Prey Interactions"

##### Ewa Christiane Gackenholz

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

- 4 years 3 weeks ago