#### Pond Eutrophication

##### Ellie

- 6 years 5 months ago

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

##### Trent J. Lythgoe

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

- 4 years 10 months ago

#### Bears

##### Liz

- 5 years 1 month ago

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

##### machendiran

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.

- 7 years 2 weeks ago

#### Clone of Transformative Agency in Social-Ecological System

##### Einar Bergmundur

**18**(3): 27. link

- 5 years 4 months ago

#### wolf ~ boom and bust

##### K Phu

Use the sliders below to quickly change the initial values of components of the model.

- 4 years 6 months ago

#### Day 22: More Realistic Model of Isle Royale: Predator Prey Interactions

##### Jacob Englert

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

- 1 year 8 months ago

#### A More Realistic Model of Isle Royale: Predator Prey Interactions

##### Andrew E Long

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.

A decent match to the data is made with

Wolf Death Rate = 0.15

Wolf Birth Rate Factor = 0.0203

Moose Death Rate Factor = 1.08

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 MBR*M*(1-M/K)

Moose death flow is MDRF*Sqrt(M*W)

Wolf birth flow is WBRF*Sqrt(M*W)

Wolf death flow is WDR*W

- 1 year 8 months ago

#### Lab1 Forestry Succession Model

##### Owen Stuart

- 2 years 9 months ago

#### Predator and Prey model

##### Abbott Van

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

- 4 months 6 days ago

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

##### Michael Afghani

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

- 4 years 7 months ago

#### Model

##### Victor Wong

- 2 years 8 months ago

#### Isle Royale: Predator/Prey Model for Moose and Wolves, with Total Population

##### Andrew E Long

https://insightmaker.com/insight/2068/Isle-Royale-Predator-Prey-Interactions

Thanks Scott Fortmann-Roe.

I've added in an adjustment to handle population.

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 8 months ago

#### Material/Energy Transfer in the Hudson River Estuary

##### Angelo Rivas

- 11 months 1 week ago

#### Prey&Predator - 3z MA

##### Johan Raunkjær Borre

**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.

- 1 month 1 week ago

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

##### Nicole M Radziwill

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

- 3 years 8 months ago

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

##### JanH

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

- 4 years 5 days ago

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

##### franzol

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

- 4 years 10 months ago

#### Guam Invasive Snake population dynamics

##### Erika Philby

- 7 months 1 week ago

#### Selection under logistic population dynamics

##### Barry McMullin

- 1 year 3 months ago

#### Backup of Story Telling - Deer Management Under Climate Change

##### Rob Rempel

The purpose of this deer management model is to explore the capacity of wildlife management actions to help us adapt to the effects of climate change.

Environment Ecology Climate Change Deer Cervids Wildlife Management

- 2 years 9 months ago

#### Dystopia: simple energy system model

##### Barry McMullin

**NB:**this version doesn't automatically succeed in limiting P to P_max. It forces dS/dt to zero as A*(P/ P_max) reaches 1; and then as that value exceeds 1, dS/dt is forced negative. But this dynamics has no way to "undo" any overshoot of P over P_max (which would require S itself to become negative: "negative emissions"). Need to manual find/choose a big enough value of A to limit P effectively.

- 1 year 3 months ago

#### Biodiversity_Model

##### Stephanie

- 2 years 3 weeks ago

#### modelo 1

##### Paula Andrea Lozano Montaña

- 1 year 7 months ago