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

##### Lindsey Watch

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

- 10 months 3 weeks ago

#### Modelo da populacao de samambaias - Atividade 3

##### Matheus de Souza Silva

- 2 years 3 months ago

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

##### Aleksandr

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

- 6 years 6 months ago

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

##### Yan

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

- 6 years 2 weeks ago

#### Clone of Caribou Conservation Triage-V2

##### Rob Rempel

This model was developed by Rob Rempel and Jen Shuter, and was based in part on input from attendees of a modelling workshop ("Modelling the Caribou Questions") held at the 16th North American Caribou Workshop in Thunder Bay, Ontario, May 2016.

- 3 years 11 months ago

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

##### Runy Calmera

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

- 5 years 4 months ago

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

##### Oswaldo Lairet

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

- 5 years 8 months ago

#### Clone of YellowstoneEcoClassModel

##### Stephanie Orpilla

- 5 years 2 months ago

#### Clone of Climate Sector Boundary Diagram of Guy Lakeman

##### Taylor Nicole Koontz

**Climate Sector Boundary Diagram By Guy Lakeman**Climate, Weather, Ecology, Economics, Population, Welfare, Energy, Policy, CO2, Carbon Cycle, GHG (green house gasses, combined effects)

As general population is composed of 85% with an education level of a 12 grader or less (a 17 year old), a simple block of components concerning the health of the planet needs to be broken down into simple blocks.Perhaps this picture will show the basics on which to vote for a sustained healthy futureDemocracy is only as good as the ability of the voters to FULLY understand the implications of the policies on which they vote., both context and the various perspectives. National voting of unqualified voters on specific policy issues is the sign of corrupt manipulation.

Climate Weather Ecology Economics Population Welfare Energy Policy CO2 Carbon GHG Green House Gas

- 4 years 11 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 10 months ago

#### Clone of Clone of Royal Island- Resilience

##### Alena Peskova

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

- 5 years 7 months ago

#### Clone of Clone of BirthRateDeathRateAndR

##### Jesus Escalante

- 6 years 6 months ago

#### Clone of Predator-Prey Model ("Lotka'Volterra")

##### james gallagher

**Dynamic simulation modelers are particularly interested in understanding and being able to distinguish between the behavior of stocks and flows that result from internal interactions and those that result from external forces acting on a system. For some time modelers have been particularly interested in internal interactions that result in stable oscillations in the absence of any external forces acting on a system. The model in this last scenario was independently developed by Alfred Lotka (1924) and Vito Volterra (1926). Lotka was interested in understanding internal dynamics that might explain oscillations in moth and butterfly populations and the parasitoids that attack them. Volterra was interested in explaining an increase in coastal populations of predatory fish and a decrease in their prey that was observed during World War I when human fishing pressures on the predator species declined. Both discovered that a relatively simple model is capable of producing the cyclical behaviors they observed. Since that time, several researchers have been able to reproduce the modeling dynamics in simple experimental systems consisting of only predators and prey. It is now generally recognized that the model world that Lotka and Volterra produced is too simple to explain the complexity of most and predator-prey dynamics in nature. And yet, the model significantly advanced our understanding of the critical role of feedback in predator-prey interactions and in feeding relationships that result in community dynamics.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 11 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 10 months ago

#### Predator Prey Interactions

##### Angelyn Wu

- 1 year 6 months ago

#### Actividad 1. Metapoblaciones

##### Brandon Benavente

- 1 year 9 months ago

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

##### Marosi Balázs

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 11 months ago

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

##### David Fan

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

- 6 years 7 months ago

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

##### resolut

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

- 6 years 6 months ago

#### Clone of S-Curve + Delay for Bell Curve by Guy Lakeman

##### Ray Madachy

**S-Curve + Delay for Bell Curve Showing Erlang Distribution**

Generation of Bell Curve from Initial Market through Delay in Pickup of Customers

This provides the beginning of an Erlang distribution model

The **Erlang distribution** is a two parameter family of continuous probability distributions with support . The two parameters are:

- a positive integer '
**shape'** - a positive real '
**rate'**; sometimes the scale , the inverse of the rate is used.

MATHS Statistics Physics Science Ecology Climate Weather Intelligence Education Probability Density Function Normal Bell Curve Gaussian Distribution Democracy Voting Politics Policy Erlang

- 1 year 10 months ago

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

##### mostafas zadeh

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

- 5 years 12 months ago

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

##### Marat Jilikbaev

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

- 6 years 6 months ago

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

##### Aleksandr

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

- 6 years 6 months ago

#### Clone of Vegetation interspecific competition

##### Anaïs RAMET

- 5 years 1 month ago