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

##### lmhausw

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.

- 5 years 6 months ago

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

##### Marat Jilikbaev

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.

- 5 years 10 months ago

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

##### Anne Stein

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.

- 5 years 6 months ago

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

##### Donna Odhiambo

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.};

- 2 years 2 months ago

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

##### Janina

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

- 5 years 6 months ago

#### Clone of Midterm - Square Root Model

##### Maria E Ruwe

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 2 months ago

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

##### Lars Johannsen

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

- 5 years 6 months ago

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

##### Lord of the Rings

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

- 5 years 10 months ago

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

##### Christian Kitazume

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

- 4 years 6 months ago

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

##### Valerya

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

- 5 years 10 months ago

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

##### Victoria Sukhopluyeva

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

- 5 years 10 months ago

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

##### Bob Jones

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

- 5 years 4 weeks ago

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

##### Eliecer Alvarado Rodriguez

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

- 5 years 6 months ago

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

##### Becky Haney

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

- 5 years 9 months ago

#### Clone of Forcing functions (tides and light)

##### Alhambra

This very simple model generates a tidal curve and a light climate at the sea surface to illustrate the non-linearity of the diel and tidal cycles. This has repercussions on benthic primary (and therefore also secondary) production.

- 4 years 8 months ago

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

##### Valerya

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

- 5 years 10 months ago

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

##### Robert Woodbury

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

- 5 years 6 months ago

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

##### Christian Kitazume

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

- 4 years 6 months ago

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

##### Bruessow

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

- 5 years 6 months ago

#### Clone of Plant, Deer and Wolf Population Dynamics

##### egert valmra ★

This simulation shows how plant, deer and wolf populations impact each other in a deciduous forest ecosystem.

- 3 years 8 months ago

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

##### Marat Jilikbaev

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

- 5 years 10 months ago

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

##### Jorge Andrick

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

- 7 years 6 months ago

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

##### Valerya

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

- 5 years 10 months ago

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

##### Gulyaeva Kseniya

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

- 5 years 10 months ago