select the incorrect statement for exponential growth model.

Options

A. (a) this pattern of growth occurs if resources are unlimited
B. (b) integral form of this growth is is represented as `N_1=N_0e^n`
C. (c) when resources are unlimited in this habitat each species has the ability to realise fully its innate potential to grow in number
D. (d) population showing exponential growth is represented by a sigmoid curve.

Answer

To solve the question, we need to identify the incorrect statement regarding the exponential growth model. Let’s analyze each option step by step:

1. **Understanding Exponential Growth Model**:
- The exponential growth model describes how a population grows in an environment where resources are unlimited and competition is minimal. This leads to a rapid increase in population size, represented by a J-shaped curve.

2. **Analyzing the Options**:
- **Option A**: "This pattern of growth occurs if resources are unlimited."
- This statement is true. The exponential growth model assumes that resources are unlimited, allowing for continuous growth.

- **Option B**: "Integral form of this growth is represented as n1 = n0e^(rt)."
- This statement is also true. The exponential growth can be mathematically represented using this equation, where n1 is the future population size, n0 is the initial population size, e is the base of the natural logarithm, r is the growth rate, and t is time.

- **Option C**: "When resources are unlimited in this habitat, each species has the ability to realize its full innate potential to grow in number."
- This statement is true as well. The concept of biotic potential refers to the maximum capacity of an organism to reproduce under optimal environmental conditions, which includes unlimited resources.

- **Option D**: "The population showing exponential growth is represented by a sigmoid curve."
- This statement is incorrect. Exponential growth is represented by a J-shaped curve, while a sigmoid curve represents logistic growth, which occurs when resources become limited and the population reaches a carrying capacity.

3. **Conclusion**:
- The incorrect statement regarding the exponential growth model is **Option D**.

### Final Answer:
**Option D** is the incorrect statement regarding the exponential growth model.