Biology High School

each system of differential equations is a model for two species that either compete for the same resources or cooperate for mutual benefit (flowering plants and insect pollinators, for instance). decide whether each system describes competition or cooperation and explain why it is a reasonable model. (ask yourself what effect an increase in one species has on the growth rate of the other.)

Answers

Answer 1

The system of differential equations for flowering plants and insect pollinators describes cooperation as an increase in one species positively affects the growth rate of the other.

The first step in deciding whether each system of differential equations describes competition or cooperation is to analyze the effect of an increase in one species on the growth rate of the other. If an increase in one species negatively affects the growth rate of the other, it indicates competition. On the other hand, if an increase in one species positively affects the growth rate of the other, it indicates cooperation.

In the case of flowering plants and insect pollinators, an increase in flowering plants leads to an increase in the availability of nectar and pollen, which benefits insect pollinators. This increase in resources supports the growth and reproduction of the insect pollinators. Similarly, an increase in insect pollinators leads to an increase in pollination, which enhances the reproductive success of flowering plants.

Therefore, the system of differential equations for flowering plants and insect pollinators describes cooperation. An increase in one species (either flowering plants or insect pollinators) positively affects the growth rate of the other, resulting in mutual benefit.

Conclusion: The system of differential equations for flowering plants and insect pollinators describes cooperation as an increase in one species positively affects the growth rate of the other.

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