dN1/dt=r1N1
dN1/dt = r1N1 [(K1-N1)/K1]
The logistic growth equation is commonly used to model populations limited by regulation. It is given as: ( \frac{dN}{dt} = rN\left(1-\frac{N}{K}\right) ), where (N) is the population size, (r) is the growth rate, and (K) is the carrying capacity. This equation accounts for both exponential growth (when (N) is much smaller than (K)) and slower growth as the population approaches its limit.
Well, the definition of population is is more than one organism of the same species. So, anything 1+
The two most common reasons non-indiginous species are threats to ecosystems are these:1) The new species takes resources, thus depriving indiginous species of those resources, and2) The new species upsets the predator / prey balance in the existing ecosystem.For example, if you were to introduce snakes in an area with no snakes, that could have the effect of depleting the population of rodents in that area, due to snakes' appetite for rodents. Because this is a new demand for rodents, you would be depriving birds of prey (for example) of the rodent food source, and you would be population INCREASE of those foodstuffs on which rodents feed. It is quite easy to see how this new species (snakes) could lead to further upsets in the ecosystem, both up and down the food-chain.
dN1/dt and dN2/dt
1. population 2. species 3. individual
n=N/1+Ne2 sample size= population size/ 1+ population size* (error margin)2
This is a much studied relationship that one might learn about in grade 10 science or Biology 11. Predators rely on the population of their prey for sustenance. An increase in predators could lead to a decrease in the population of the prey which in turn leads to a decrease in the predator population. As the predator population decreases the prey population can again increase and the cycle begins anew.
(1) In a well-mixed population, the predator quickly finds prey, the prey disappear, and the predator soon follows. (2) By increasing the space between population subunits, the interaction between the predator and prey is prolonged. (3) By slowing the movement of the predator, the interaction between the predator and prey is prolonged. (4) By adding habitat patches that don't support prey, the interaction between the predator and prey is prolonged. (5) By adding barriers to predator dispersal, the interaction between predator and prey is prolonged.
A species is called the "living dead" when it has dropped to few enough individuals such that there is not enough genetic diversity to build up the population again. For example if there was 1 organism of a species left on earth it would be called the living dead because there is no way for its species to reproduce and live on with a full, genetically diverse, healthy population. A species isn't called the living dead only if it reaches 1 individual, it could be 40, 25, etc. individuals. A species is called the "living dead" when it has dropped to few enough individuals such that there is not enough genetic diversity to build up the population again. For example if there was 1 organism of a species left on earth it would be called the living dead because there is no way for its species to reproduce and live on with a full, genetically diverse, healthy population. A species isn't called the living dead only if it reaches 1 individual, it could be 40, 25, etc. individuals.
1.Very high and still Increasing population and 2. They are dominating or killing off other species in the area
Density Dependencea. Add density dependence to the prey population(1) This means that the prey population will regulate its own numbers.(1) The amplitude of the oscillations gets smaller over time(convergent oscillations).(2) Eventually, both Ns are constant.b. Up to now, the equations have assumed that the predator takes prey items in direct proportion to their availability.