The ability of an organism's homeostatic mechanisms to allow it to survive the extremes of its environment determine its survival and reproduction. This is the basis of natural selection, and the success of individuals in an ecosystem determines the structure of the population in that ecosystem.
There is, of course, a continuum of tolerances to various environmental challenges within and among species. Beyond certain levels of any given factor, a lethal range exists.
Short-term responses to environmental changes are adaptations. These are governed by the homeostatic mechanisms in the individual, but their limits are set by the evolutionary history of that individual.
Individual adaptations to change include:
Ecologists have devised several mathematical models to describe population growth under various conditions and in various types of populations.
It plots out like SO.
The human population has been exhibiting exponential growth since it dropped out of the trees. But how long can this last?
It plots out like SO.
r-selected species
K-selected species

Common results of high population density include
What are the actual factors that cause these phenomena?
A limiting factor is any environmental condition that stops a population from unlimited growth at its intrinsic rate of increase.
Limiting factors that increase in intensity as population density increases
are known as density dependent factors. Example: Any limited resource.
Limiting factors that do not increase in intensity with population density increase are known as density independent factors. Example: sunlight, rainfall, temperature, etc.; any factor that affects all individuals, no matter what the population size.
Even real phenomena are controversial...
The jury's still out on the actual cause(s) of the concurrent fluctuations.