Example WebKit Models

These models illustrate the Numerus WebKit modeling technology. To use, load the model into your browser and click Connect to initialize the model. This will enable the other 4 buttons: Disconnect, Reset, Step and Start. Use the Start/Stop button to run the program continuously. Step single-steps the program. Reset returns to the beginning. A Double-Reset reinitializes the simulation. You can also reinitialize with Disconnect/Connect, or simply reloading the web page. See the WebKit Users Guide for complete documentation.

Be aware of the side panel, which you open and close by clicking on the side panel icon, , and adjust using the purple stripe. This panel contains documentation, preset control and RAM access.

NetLogo is an established platform for implementing agent-based models. Numerus WebKit uses an API analogous to that of NetLogo, keeping the "Patches" and "Turtles" nomenclature and making the translation from NetLogo the WebKit straightforward. Many of the agent-based models in this collection were derived from the NetLogo model library. All such examples include NetLogo documentation, which for now serves to describe the model but may not totally match the WebKit implementation.

Numerus Originals

• Three State Extended Game of Life

A 3-state extended version of Conway's Game of Life (GoL). The mathematical equations behind this GoL are described in a paper that can be downloaded at mathRxiv. Click through the 8 presets to view different starting configurations, and feel free to save your own interesting discoveries in unused presets. This model is a focus of the WebKit Users Guide as an example that makes extensive use of the RAM and preset features.

• SIRS WebKit App

Fully developed platform for teaching the SIRS Model. Documented extensively here.

• Deterministic SIRS with Vaccinations

A mass-action SIRS model with vaccinations described in the publication Simulation Platforms to Support Teaching and Research in Epidemiological Dynamics. This app was merged into the previous example to create a fully developed platform for teaching the SIRS model.

• Stochastic SIRS with Vaccinations

A stochastic version of the previous model. See Simulation Platforms to Support Teaching and Research in Epidemiological Dynamics

• SD SIR

A simple mass-action SIR model demonstrating the WebKit Sensitivity analysis platform.

• SD User Defined

An app in which the user programs the model. Discussed extensively in the WebKit Users Guide.

• Agents

Simple agent motion.

• Animover 2

Animover is a model of a group of agents foraging in an area for a food resource. Animover 2 is a preliminary version. It is the most complex WebKit simulation to date, with several thousand lines of code required to implement the model logic.

• Forest

Cell automata model depicting a forest fire.

• Life]

Conway's Game of Life. Enough said. See the WebKit Users Guide to learn how to initialize the starting configuration.

• Life Agents

Game of Life with agent motion. An agent passing over a live cell colors the cell with the agent's color.

• Lorenz Attractor

The Lorenz system is a system of ordinary differential equations first studied by mathematician and meteorologist Edward Lorenz. It is notable for having chaotic solutions for certain parameter values and initial conditions. The term "butterfly effect" in popular media may stem from the real-world implications of the Lorenz attractor, namely that tiny changes in initial conditions evolve to completely different trajectories.

• Lotka-Volterra Model

Shows both time and phase graphs.

NetLogo Translations

• Ants

NetLogo model. A colony of ants forages for food. Though each ant follows a set of simple rules, the colony as a whole acts in a sophisticated way.

• Diffusion

NetLogo diffusion example. Diffusion Graphics is unlike most other NetLogo models, in that it really doesn’t ‘model’ anything. It simply explores the power behind an interesting patch primitive: ‘diffuse’.

• Diffusion Limited Aggregration

This model demonstrates diffusion-limited aggregation, in which randomly moving (diffusing) particles stick together (aggregate) to form beautiful treelike branching fractal structures. There are many patterns found in nature that resemble the patterns produced by this model: crystals, coral, fungi, lightning, and so on.

• Fungal Growth

NetLogo model showing the spread of fungal hyphae throughout a section of earth in which moisture is spreading.

• Follower

NetLogo model. In Follower, turtles attempt to “connect” with other turtles, forming long chains according to a small set of simple rules.

• Fireworks

NetLogo model. This program models the action of fireworks. Rockets begin at the bottom of the view, shoot upwards into the sky and then explode, emitting showers of falling sparks. Works best at lower speed.

• Meandering River

Netlogo Model. This model demonstrates the meandering of a river along its “middle course”, where the gradient of the landscape is gradual and the river runs within a U-shaped river valley. The evolution of the shape of the river is governed by the path of its highest-velocity flow, as well as erosion and deposition.

This example has documentation extracted from the Netlogo version. Click the icon on the top-right of the page.

• Rock Paper Scissors

NetLogo Model. This model explores the role of movement and space in a three species ecosystem. The system consists of three species, represented by red patches, green patches, and blue patches, which compete over space. The interactions between the species are based on the game Rock-Paper-Scissors. That is, red beats green, green beats blue, and blue beats red. Organisms compete with their neighbors, move throughout the environment, and reproduce. These interactions result in spiral patterns whose size and stability depends on the movement rate of the organisms.

• Wolf Sheep Predation

NetLogo Model. A population of sheep that wander around the landscape. For each step the sheep take it costs them some energy and if there energy gets too low they die. However, the sheep can eat grass in the environment to regain energy and the grass regrows over time. If the energy of the sheep gets above a certain level then they can reproduce. There are also wolves that have the same behaviors as sheep except for eating; rather than grass, they eat sheep.

• Wave Machine

Netlogo Model. This model simulates wave motion in a membrane. The four edges of the membrane are fixed to a frame. A green rectangular area represents a driver plate that moves up and down, exhibiting sinusoidal motion.