To survive and reproduce, organisms require a supply of materials from their surroundings and from the other living organisms in an ecosystem.
Plants often compete with each other for light and space, and for water and nutrients from the soil. Animals often compete with each other for food, mates and territory.
Within a community each species depends on other species for food, shelter, pollination, seed dispersal etc. If one species is removed it affects the whole community.
A stable community is one where all the species and environmental factors are in balance so that population sizes remain fairly constant.