#### Isle Royale: Predator Prey Interactions

##### Scott Fortmann-Roe

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

#### Population Vectors

##### Tsogbadrakh Banzragch

"Males" and "Females" populations of rabbits have different initial population sizes and random birth rates. Insight Maker keeps track of everything for you and automatically applies the correct vectorization.

- 4 months 3 weeks ago

#### Royal Island- Resilience

##### Jeff Schulte

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

Experiment with adjusting the moose birth-rate to simulate Over-shoot followed by environmental recovery

Experiment with adjusting the moose birth-rate to simulate Over-shoot followed by environmental recovery

- 4 years 3 weeks ago

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

##### John Evans

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

- 5 months 3 weeks ago

#### Predator Prey Interactions

##### Katherine Scalise

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

- 1 year 7 months ago

#### Yellowstone Bison & Wolf Model

##### Paola Villegas

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

- 3 years 4 months ago

#### Koala Populations

##### Ned McDougall

- 4 years 11 months ago

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

##### Jannik

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 Royal Island- Resilience

##### franzol

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

Experiment with adjusting the moose birth-rate to simulate Over-shoot followed by environmental recovery

Experiment with adjusting the moose birth-rate to simulate Over-shoot followed by environmental recovery

- 2 years 2 weeks ago

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

##### Andrew E Long

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

- 5 days 11 hours ago

#### Interações presa-predador (Clone Isle Royale: Predator Prey Interactions Scott Fortmann-Roe)

##### Wander Soares

Este modelo ilustra interações presa-predador usando dados reais de lobo e populações alce na ilha Royale.
Experiência com o ajuste da quantidade inicial de alces e lobos na ilha.

- 2 years 4 months ago

#### Predator Prey Interactions

##### Katherine Scalise

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.

- 1 year 8 months ago

#### Senina

##### Senina Anastassiya

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 8 months ago

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

##### Robert Bilyk

Model created by Scott Fortmann-Roe. 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 2 months ago

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

##### Matt Young

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

- 2 years 7 months ago

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

##### Andrew E Long

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.

- 3 weeks 10 hours ago

#### Isle Royale Revised: Predator Prey Interactions

##### Walter M. Stroup

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

- 3 years 5 months ago

#### Education Don

##### Don Fernando

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

- 2 years 10 months ago

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

##### Yves

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

- 4 years 2 weeks ago

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

##### Andrew E Long

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.};

- 3 weeks 5 days ago

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

##### Sarah Supp

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

- 1 year 3 months ago

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

##### Stefan Koester

- 1 year 3 months ago

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

##### Allison Zembrodt

Allison Zembrodt's Model

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

equations I used in kill rate :

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

equations I used in kill rate :

power model - 12*0.1251361120909615*([Moose]/[Wolves])^.44491970277839954*[Wolves]

Kill rate sqrt = 12*(0.0933207+.0873463*([Moose]/[Wolves])^.5)*[Wolves]

Holling Type III - ((0.986198*([Moose]/[Wolves])^2)/ (601.468 +([Moose]/[Wolves])^2))*[Wolves]*12

linear - 12*[Wolves]*(.400271+.00560299([Moose]/[Wolves]))

- 2 days 12 hours ago

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

##### Bob Jones

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

- 2 years 10 months ago