#### 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

- 4 years 4 months ago

#### Rachel Driehaus Midterm MAT 375

##### Rachel Driehaus

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

- 3 years 3 months ago

#### modelo 1

##### Paula Andrea Lozano Montaña

- 3 years 2 months ago

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

##### Alyssa Farmer

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

- 3 years 3 months ago

#### Clone of Jacob Englert MAT 375 Midterm: Model of Isle Royale: Predator Prey Interactions

##### Urasa Kongdechakul

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

- 1 year 11 months ago

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

##### Einar Bergmundur

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

- 6 years 11 months ago

#### Logistic stabilization of population

##### Barry McMullin

- 2 years 10 months ago

#### Dystopia-1: simple energy system model

##### Barry McMullin

- 2 years 10 months 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 year 8 months ago

#### PFAS contamination model

##### Bruce Gray

- 3 years 4 days ago

#### Driehaus Isle Royale: Meese and Wolves

##### Rachel Driehaus

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

- 3 years 3 months ago

#### food web

##### Lillian Bitker

- 2 years 3 months 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.

- 8 years 7 months ago

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

##### Karen Doore

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

##### Trent J. Lythgoe

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

- 6 years 5 months 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.

- 6 years 7 months ago

#### Seabird Population Model

##### Sarah Durham

- 1 year 6 months ago

#### Schweitzer_WoolvesMoose

##### Annelies Schweitzer

- 1 year 11 months ago

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

##### Michael Afghani

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

- 6 years 2 months ago

#### Lotka-Volterra Model: Prey-Predator Simulation

##### Pavan Kumar Guntur

Predator-prey models are the building masses of the bio-and environments as bio masses are become out of their asset masses. Species contend, advance and scatter essentially to look for assets to support their battle for their very presence. Contingent upon their particular settings of uses, they can take the types of asset resource-consumer, plant-herbivore, parasite-have, tumor cells- immune structure, vulnerable irresistible collaborations, and so on. They manage the general misfortune win connections and thus may have applications outside of biological systems. At the point when focused connections are painstakingly inspected, they are regularly in actuality a few types of predator-prey communication in simulation.

**Looking at Lotka-Volterra Model:**

The well
known Italian mathematician Vito Volterra proposed a differential condition
model to clarify the watched increment in predator fish in the Adriatic Sea
during World War I. Simultaneously in the United States, the conditions
contemplated by Volterra were determined freely by Alfred Lotka (1925) to
portray a theoretical synthetic response wherein the concoction fixations
waver. The Lotka-Volterra model is the least complex model of predator-prey
communications. It depends on direct per capita development rates, which are
composed as **f=b−py** and **g=rx−d. **

__A detailed explanation of the parameters:__

- The parameter b is the development rate of species x (the prey) without communication with species y (the predators). Prey numbers are reduced by these collaborations: The per capita development rate diminishes (here directly) with expanding y, conceivably getting to be negative.
- The parameter p estimates the effect of predation on x˙/x.
- The parameter d is the death rate of species y without connection with species x.
- The term rx means the net rate of development of the predator population in light of the size of the prey population.

Reference:

http://www.scholarpedia.org/article/Predator-prey_model

- 1 year 10 months ago

#### Selection under logistic population dynamics

##### Barry McMullin

- 2 years 10 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.

- 5 years 7 months ago

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

##### Nicole M Radziwill

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

- 5 years 3 months ago

#### Coral Reef Population

##### Dana Murtada

Experiment with adjusting the initial number of corals on the island.

- 1 year 2 months ago