What is the relationship among births, deaths, and carrying capacity in equilibrium species? equilibrium species have a low birth rate and a low death rate and tend to stay near the carrying capacity. equilibrium species have a low birth rate and a high death rate when the population is far below the carrying capacity. equilibrium species have a high birth rate and a low death rate when the population is near the carrying capacity. equilibrium species always have a high birth rate and a high death rate and oscillate far above and below the carrying capacity?