The dynamics of homeless population in Toronto with constant homelessness and rehabilitation rates

This model simulates the growth of human populations at a global level and a local level (e.g., Oshawa) using logistic growth principles. It includes components for population size, birth rates, death rates, migration for local population, and carrying capacity. Each stock and flow is described with units and explanations.

The dynamics of a moose population with density-dependent birth rate...the birth rate equals the death rate when the population is at carrying capacity; the birth rate is greater than the death rate when the population is below carrying capacity; the birth rate is below the death rate when the population is above carrying capacity.

This model demonstrates how the population of trees fluctuates and changes when factors such as how much trees being planted and how many trees being harvested/torn down come into play! 

The following model shows us the fictional city in Ontario a municipality called Omnicity with fictional energy values and the relationship between all the energy types used within the city, how it affects the energy grid, with the inflows from the various types of energy the city produces. The power usage coming from Businesses and Residential, whilst the energy produced comes from Wind, Solar, Hydro, Nuclear, Natural Gas, and Micro-generated Solar Electricity from residential housing.

The dynamics of the human population in Oshawa are influenced by the carrying capacity.

• When the population is below the carrying capacity, the birth rate exceeds the death rate, leading to population growth.

• At the carrying capacity, the birth rate equals the death rate, and the population stabilizes.

• If the population exceeds the carrying capacity, the death rate surpasses the birth rate, causing a population decline.

This model demonstrates how population growth is controlled by the availability of resources and space.

People (Human): Used for stocks like population and carrying capacity. It represents the number of individual humans.

People per person per year (Human / Human / Year): Used for rates like birth and death rates, indicating the number of people added or subtracted per person in the population each year.

People per year (Human / Year): Used for flows like population change, representing the total number of people added or subtracted from the population annually.

The dynamics of a moose population with density-dependent birth rate...the birth rate equals the death rate when the population is at carrying capacity; the birth rate is greater than the death rate when the population is below carrying capacity; the birth rate is below the death rate when the population is above carrying capacity.

The dynamics of the human population in Oshawa with density-dependent birth rate...the birth rate equals the death rate when the population is at carrying capacity; the birth rate is greater than the death rate when the population is below carrying capacity; the birth rate is below the death rate when the population is above carrying capacity.

This model stimulates the growth of the human population at a large scale, ranging from global to local growth. It is modeled using logistic growth, where the carrying capacity (maximum sustainable population) limits the exponential growth due to available resources. 

This model displays how the population of the Earth changes. With a larger birth rate than death rate the population increases and heads towards K (carrying capacity). If the birth rate is lower than the death rate, the population will slowly diminish and will move away from carrying capacity.

Relation between factors contributing to carbon emission and carbon absorption

The dynamics of a moose population with density-dependent birth rate...the birth rate equals the death rate when the population is at carrying capacity; the birth rate is greater than the death rate when the population is below carrying capacity; the birth rate is below the death rate when the population is above carrying capacity.

The dynamics of a moose population with density-dependent birth rate...the birth rate equals the death rate when the population is at carrying capacity; the birth rate is greater than the death rate when the population is below carrying capacity; the birth rate is below the death rate when the population is above carrying capacity.

The dynamics of a moose population with density-dependent birth rate...the birth rate equals the death rate when the population is at carrying capacity; the birth rate is greater than the death rate when the population is below carrying capacity; the birth rate is below the death rate when the population is above carrying capacity.

This model simulates the management of water in a household. The “Water Reservoir” stock represents the total amount of water available. The “Water Supply” inflow adds water to the reservoir based on the “Supply Rate.” The “Water Usage” outflow removes water from the reservoir based on the “Usage Rate.” By adjusting the “Supply Rate” and “Usage Rate,” users can see how conservation efforts impact water availability over time.

The dynamics of a moose population with constant birth and death rates.

The dynamics of a constant bathtub water level with constant water inflow and water outflow rates.

The dynamics of a moose population with constant birth and death rates.

The dynamics of a moose population with constant birth and death rates.

The dynamics of Oshawa’s population are modeled with a carrying capacity, where population growth is influenced by density-dependent factors. At lower population sizes, the birth rate exceeds the death rate, with a maximum birth rate and a maximum death rate. As the population increases and approaches the carrying capacity, resource limitations cause the birth rate and death rate to equalize. If the population exceeds the carrying capacity, the death rate will surpass the birth rate, gradually reducing population size, stabilizing near equilibrium.