sistence level of yearly food consumption, assume BN what equation describes thi

Question

sistence level of yearly food consumption, assume BN what equation describes this situation? What properties suspect are valid for this functional relationship? Is there an equilibrium population 37.2. F. E. Smith suggested a different simple model of the population growth of a species limited by the food supply based on experiments on a type of water bug. As in the logistic model, the growth rate is proportional to the difference between the available food fa and the subsistence level of food consumption fe: 1 dN N dt However, previously fe was assumed proportional to the number of individ uals of the species. Smith instead assumed that more food is necessary for survival during the growing phase of a population. Consequently a simple model would be dN with y o. What differential equation describes this model? What are the equilibrium populations

Explanation / Answer

any position is said to be stable if it remains the same irrespective of the disturabances created on it. if the position is disturbed by some external activity and if it gets back to the original position, then it is said to be stable. if it gets deviated, then it is said to be unstable. for the given euation, if a double derivative is done, we get the answer to be zero. hence the population growth is stable.

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