If there were lions that were immigrating into an area with a lion population, then the population would increase. It would increase because there are lions being added into the area. If lions were to emigrate out of the area, then the population would decrease in that area. It would decrease because the lions are leaving and going to a new area. If lions were to reproduce and birth offspring, then the population would increase because there are more lions becoming apart of the population. If lions starting dying, then the population would decrease because there are less lions apart of the area.
Carrying capacity is when a population reaches its maximum number of individuals in the species that the environment can consistently support. If they have limited resources, then eventually the population will start topping off and will reach its carrying capacity. Limited resources could also cause a fluctuation in the population depending on how well the resources are produced and how accessible they are.
Two density-dependent limiting factors that might influence the size of the population are competition between other members of the population, and disease effecting the lions or their resources. If the population is larger, there is a larger chance of them being affected by these factors.
Two density-independent limiting factors that might influence the size of the population are food and droughts. If there is a lack of food or something harmful in the food, then the population of lions would probably decrease. If there were to be a drought that occurred in the environment of the lions, then that means there would be a lack of water available so that means less lions would get it meaning they would die and the population would decrease.