Exponential, logistic, and Gompertz growth models are all commonly used to describe population growth patterns.

Carrying capacity refers to the maximum population size that can be sustained by a given environment.

The relationship between predator and prey populations can vary depending on the specific system and ecological factors involved.

Equilibrium, steady state, and logistic limit all refer to the point where a population reaches its carrying capacity.

Resource availability, competition, and predation can all impact the carrying capacity of an environment.

Population growth equation, differential equation, and logistic equation all refer to mathematical equations used to describe population growth rates.

Competition is a density-dependent factor that can limit population growth as resources become scarce.

Predator-prey model, Lotka-Volterra model, and Rosenzweig-MacArthur model all refer to mathematical models used to describe predator-prey interactions.

Sea otters, wolves, and coral reefs are all examples of keystone species that play a crucial role in maintaining ecological stability.

Metapopulation model, patch dynamics model, and spatially explicit model all refer to mathematical models used to describe population dynamics in changing environments.

Habitat fragmentation analysis, population viability analysis, and species distribution modeling are all examples of conservation strategies that utilize mathematical modeling.

Epidemiological model, SIR model, and SEIR model all refer to mathematical models used to describe the spread of diseases through populations.

Earth system model, climate-vegetation model, and biogeochemical model are all examples of mathematical models used to study the impact of climate change on ecosystems.

Metapopulation model, patch dynamics model, and spatially explicit model all refer to mathematical models used to describe population dynamics in spatially structured environments.

Population genetics model, phylogenetics model, and adaptive dynamics model are all examples of mathematical models used to study the evolution of species.