3. Some populations (such as algae and bacteria) produce waste products, which in high concentrations are...
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3. Some populations (such as algae and bacteria) produce waste products, which in high concentrations are toxic to the population itself. A mathematical model for a population x(1) and a toxic waste product y(t) is dx =(a -B- Ky)x, %3D dt (5) dy = yx - Sy, dt where a, B, y, o and K are positive constants. (v) Sketch some trajectories for the case of o < 4(a - B), where a > B, indicating with arrows their direction. [6 marks] 3. Some populations (such as algae and bacteria) produce waste products, which in high concentrations are toxic to the population itself. A mathematical model for a population x(1) and a toxic waste product y(t) is dx =(a -B- Ky)x, %3D dt (5) dy = yx - Sy, dt where a, B, y, o and K are positive constants. (v) Sketch some trajectories for the case of o < 4(a - B), where a > B, indicating with arrows their direction. [6 marks] 3. Some populations (such as algae and bacteria) produce waste products, which in high concentrations are toxic to the population itself. A mathematical model for a population x(1) and a toxic waste product y(t) is dx =(a -B- Ky)x, %3D dt (5) dy = yx - Sy, dt where a, B, y, o and K are positive constants. (v) Sketch some trajectories for the case of o < 4(a - B), where a > B, indicating with arrows their direction. [6 marks] 3. Some populations (such as algae and bacteria) produce waste products, which in high concentrations are toxic to the population itself. A mathematical model for a population x(1) and a toxic waste product y(t) is dx =(a -B- Ky)x, %3D dt (5) dy = yx - Sy, dt where a, B, y, o and K are positive constants. (v) Sketch some trajectories for the case of o < 4(a - B), where a > B, indicating with arrows their direction. [6 marks] 3. Some populations (such as algae and bacteria) produce waste products, which in high concentrations are toxic to the population itself. A mathematical model for a population x(1) and a toxic waste product y(t) is dx =(a -B- Ky)x, %3D dt (5) dy = yx - Sy, dt where a, B, y, o and K are positive constants. (v) Sketch some trajectories for the case of o < 4(a - B), where a > B, indicating with arrows their direction. [6 marks] 3. Some populations (such as algae and bacteria) produce waste products, which in high concentrations are toxic to the population itself. A mathematical model for a population x(1) and a toxic waste product y(t) is dx =(a -B- Ky)x, %3D dt (5) dy = yx - Sy, dt where a, B, y, o and K are positive constants. (v) Sketch some trajectories for the case of o < 4(a - B), where a > B, indicating with arrows their direction. [6 marks]
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Solutize let thait a meithemaitical model for Populaitis ... View the full answer
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
Posted Date:
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