d.S dt dI dt = TI - PSI, pSI – TI, where I represents individuals who are infected with some virus and S rep- resents individuals who are susceptible to infection. This time we will not assume conservation of individuals. (a) Find any critical points associated with this system. (b) Calculate the linearized system near a critical point. (c) Determine the stability of the critical point as a function of the parame- ters p and r. (d) State values of p and/or r where you would expect the nature of the

d.S dt dI dt = TI - PSI, pSI – TI, where I represents individuals who are infected with some virus and S rep- resents individuals who are susceptible to infection. This time we will not assume conservation of individuals. (a) Find any critical points associated with this system. (b) Calculate the linearized system near a critical point. (c) Determine the stability of the critical point as a function of the parame- ters p and r. (d) State values of p and/or r where you would expect the nature of the

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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