Suppose That We Model Populations of Aphids and Ladybugs with the System

question 82

Multiple Choice

Suppose that we model populations of aphids and ladybugs with the system of differential equations: $\frac { d A } { d t } = 3 A - 0.01 A L$ $\frac { d L } { d t } = - 0.5 L + 0.0001 A L$ Find the equilibrium solution.

• A) \(A = 5000 , L = 300\)
• B) \(A = 100 , L = 6\)
• C) \(A = 30,000 , L = 50\)
• D) \(A = 60 , L = 100\)
• E) \(A = 300 , L = 5000\)
• F) \(A = 6 , L = 100\)
• G) \(A = 50 , L = 30,000\)
• H) \(A = 100 , L = 60\)

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Definitions:

Amino Acid Transmitters

Chemical substances in the brain that act as neurotransmitters, including glutamate and GABA, playing key roles in transmitting signals across the synaptic gap between neurons.

Neurochemical Neurons

Specialized neurons that produce and release chemicals (neurotransmitters) to communicate with other neurons, influencing a wide array of functions and behaviors.

Sympathetic System

Part of the autonomic nervous system that prepares the body for stressful or emergency situations, often referred to as the "fight or flight" response.

Parasympathetic System

The Parasympathetic System is a branch of the autonomic nervous system responsible for conserving energy and promoting "rest and digest" bodily functions.