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Question 3 (a) A predator-prey linked system is modelled by the autonomous linear system dx =x+ 3y and dt =x- 3y dt where x(t) represents the population of the prey (in thousands) at time t and y(t) represents the population of the predator (in thousands) at time t. i) State the critical point i) Write down the characteristic equation i) Solve the characteristic equation iv) Using your solutions determine the nature and stability of the critical point

Question 3 (a) A predator-prey linked system is modelled by the autonomous linear system dx =x+ 3y and dt =x- 3y dt where x(t) represents the population of the prey (in thousands) at time t and y(t) represents the population of the predator (in thousands) at time t. i) State the critical point i) Write down the characteristic equation i) Solve the characteristic equation iv) Using your solutions determine the nature and stability of the critical point

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve a part both parts i ,ii, iii, and iv plz solve this in maximum two hour if u can't solve this u can reject in one hour so that i can't wait of your answer plz..
Question 3 (a) A predator-prey linked system is modelled by the autonomous linear system dx dy dt =x+ 3y and de =*- 3y where x(t) represents the population of the prey (in thousands) at time t and y(t) represents the population of the predator (in thousands) at time t. i) State the critical point i) Write down the characteristic equation i) Solve the characteristic equation iv) Using your solutions determine the nature and stability of the critical point
Transcribed Image Text:Question 3 (a) A predator-prey linked system is modelled by the autonomous linear system dx dy dt =x+ 3y and de =*- 3y where x(t) represents the population of the prey (in thousands) at time t and y(t) represents the population of the predator (in thousands) at time t. i) State the critical point i) Write down the characteristic equation i) Solve the characteristic equation iv) Using your solutions determine the nature and stability of the critical point
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