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

##### Maksim

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

- 6 years 2 months ago

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

##### Matthew Gall

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 6 months ago

#### Clone of Clone of Bio 101: Basic Population Model

##### ruta

This is a basic model for use with our lab section. The full BIDE options.

- 5 years 5 months ago

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

##### Alyssa Farmer

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 6 months ago

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

##### Valerya

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

- 6 years 2 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 10 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 10 months ago

#### Clone of Prey&Predator

##### Pedro

**Physical meaning of the equations**The Lotka–Volterra model makes a number of assumptions about the environment and evolution of the predator and prey populations:

1. The prey population finds ample food at all times.2. The food supply of the predator population depends entirely on the size of the prey population.3. The rate of change of population is proportional to its size.4. During the process, the environment does not change in favour of one species and genetic adaptation is inconsequential.5. Predators have limitless appetite.As differential equations are used, the solution is deterministic and continuous. This, in turn, implies that the generations of both the predator and prey are continually overlapping.[23]

**Prey**

When multiplied out, the prey equation becomesdx/dt = αx - βxy The prey are assumed to have an unlimited food supply, and to reproduce exponentially unless subject to predation; this exponential growth is represented in the equation above by the term αx. The rate of predation upon the prey is assumed to be proportional to the rate at which the predators and the prey meet; this is represented above by βxy. If either x or y is zero then there can be no predation.

With these two terms the equation above can be interpreted as: the change in the prey's numbers is given by its own growth minus the rate at which it is preyed upon.

PredatorsThe predator equation becomes

dy/dt = -

In this equation, {\displaystyle \displaystyle \delta xy} represents the growth of the predator population. (Note the similarity to the predation rate; however, a different constant is used as the rate at which the predator population grows is not necessarily equal to the rate at which it consumes the prey). {\displaystyle \displaystyle \gamma y} represents the loss rate of the predators due to either natural death or emigration; it leads to an exponential decay in the absence of prey.

Hence the equation expresses the change in the predator population as growth fueled by the food supply, minus natural death.

- 2 years 9 months ago

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

##### Lord of the Rings

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

- 6 years 2 months ago

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

##### Clay Frink

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 6 months ago

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

##### Svea

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

- 5 years 10 months ago

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

##### Omotunde Kasali

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

- 4 years 10 months ago

##### Clay Frink

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 6 months ago

#### SIMULATION1

##### Raphael

- 1 year 9 months ago

#### Clone of Predator Prey

##### K Robinson

A simulation illustrating simple predator prey dynamics. You have two populations.

- 7 years 11 months ago

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

##### Carla

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

- 5 years 10 months ago

#### Clone of Royal Island- Resilience

##### Tirakorn Livingston

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

- 3 years 6 months ago

##### rita abi fadel

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 15 hours ago

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

##### Robert L. Brown

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

- 5 years 11 months ago

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

##### Evgeny Gaponov

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

- 6 years 2 months ago

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

##### Em K

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"

##### Nikola Schmidt

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

- 5 years 10 months ago

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

##### Maximilian Muhr

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

- 4 years 10 months ago

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

##### Nora Baumgartner

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

- 5 years 10 months ago