| 1. | \(\frac{d \mathrm{~N}}{d t}=r N\left(\frac{N-K}{N}\right) \) | 2. | \(\frac{d N}{d t}=N\left(\frac{r-K}{K}\right) \) |
| 3. | \(\frac{d N}{d t}=r\left(\frac{K-N}{K}\right) \) | 4. | \(\frac{d N}{d t}=r N\left(\frac{K-N}{K}\right)\) |
| A. | Lag phase, followed by phases of acceleration and deceleration and finally an asymptote. |
| B. | The ability to realise its innate potential to grow in number and reach enormous densities in short time. |
| C. | Exponential growth |
| D. | Logistic growth |
| 1. | 'a' represents exponential growth when responses are not limiting the growth; and 'b' represents logistic growth when responses are limiting the growth. |
| 2. | 'a' represents logistic growth when responses are not limiting the growth; 'b' represents exponential growth when responses are limiting the growth. |
| 3. | 'a' represents carrying capacity and 'b' shows logistic growth when responses are limiting the growth. |
| 4. | 'a' represents exponential growth when responses are not limiting the growth and 'b' shows carrying capacity. |
| List-I | List-II | ||
| A. | Logistic growth | I. | Unlimited resource availability condition |
| B. | Exponential growth | II. | Limited resource availability condition |
| C. | Expanding age pyramid | III. | The percent individuals of pre-reproductive age is largest followed by reproductive and post reproductive age groups |
| D. | Stable age pyramid | IV. | The percent individuals of pre-reproductives and reproductive age group are same |
| Options: | A | B | C | D |
| 1. | II | IV | III | I |
| 2. | II | I | III | IV |
| 3. | II | III | I | IV |
| 4. | II | IV | I | III |
A population with finite resources shows a logistic growth curve where the correct sequence of events will be:
| 1. | Stationary phase → Acceleration phase → Lag phase → Asymptote |
| 2. | Acceleration phase → Deceleration → Asymptote |
| 3. | Acceleration phase → Leg phase → Stationary phase |
| 4. | Lag phase → Acceleration phase → Deceleration → Asymptote |
Asymptote in a logistic growth curve is obtained when:
1. K = N
2. K > N
3. K < N
4. The value of 'r' approaches zero
| 1. | when N nears the carrying capacity of the habitat |
| 2. | when N/K equals zero |
| 3. | when the death rate is greater than the birth rate |
| 4. | when N/K is exactly one |
The logistic population growth is expressed by the equation:
1.
2.
3.
4.