n the logistic model for resource-limited growth (and death) of a population, the growth rate per capita, r, is replaced by:𝑟(𝑆(𝑡))=𝑟𝑚𝑎𝑥1−𝑆(𝑡)𝐾.Which of the following statements about r is CORRECT?Group of answer choicesThe value of r cannot be larger than rmax.All of the other answers are correctThe value of r decreases with increasing population size S(t).The value of r is zero when the population size S(t) = K.

The model for exponential growth coupled to exponential death is d𝑆(𝑡)d𝑡=𝑟𝑆(𝑡)−𝑐𝑆(𝑡). Which of the following statements about the value of r/c is CORRECT?Group of answer choicesIf it is smaller than one, the population size will increaseIf it is smaller than zero, the population size will decreaseIf it is greater than zero, the population size will decreaseIf it is greater than one, the population size will increase

As N (population size) approaches K (carrying capacity) for a certain population, which ofthe following is predicted by the logistic equation?a) The growth rate will not change.b) The growth rate will approach zero.c) The population will increase exponentially.d) The carrying capacity of the environment will increase.

The logistic population growth is expressed by the equation

The model for continuous-time exponential death is d𝑆(𝑡)d𝑡=−𝑐𝑆(𝑡)In this model, what is c?Group of answer choicesThe death rate per capitaThe change in the population size over timeThe population size at time tThe number of individuals who have died

Study the following statements.a) No population in any species in nature has at its disposal unlimited resources.b) Exponential growth curve is most realistic.c) ‘r’ is an important parameter for assessing the impact of biotic or abiotic factors on population growth.d) For any population the size is a static parameter.The correct ones of the above are