Čonsider the following vector-borne disease model (whcrc thc subscript 1 refers to humans and subscript 2 refers to mosquitoes) dS1 = #1 – bißS1 - iS1, I2 T1 - biBSı dt N1 dI1 I2 bißS - (n+ 41 + di)I1, dt dR1 dt dS2 dt dI2 dt N1 Si + I1 + R1, and N2 = S2 + Iz. 1. Explain the physical meaning of the state variables and the parame- ters used. 2. Find the equilibria and discuss their stability.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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\ Consider the following vector-borne disease model (whcre the
subscript 1 refers to humans and subscript 2 refers to mosquitoes)
dS1
I2
dt
dI
I2
(1 + 41 + 81)I1,
%3D
dt
dR1
dt
dS2
= T2 - 62BS2 - 42S2,
dt
dI2
b2BS2-
N1
dt
N1 = S1 + I + R1,
and N2 = S2 + I2.
1. Explain the physical meaning of the state variables and the parame-
ters used.
2. Find the equilibria and discuss their stability.
Transcribed Image Text:\ Consider the following vector-borne disease model (whcre the subscript 1 refers to humans and subscript 2 refers to mosquitoes) dS1 I2 dt dI I2 (1 + 41 + 81)I1, %3D dt dR1 dt dS2 = T2 - 62BS2 - 42S2, dt dI2 b2BS2- N1 dt N1 = S1 + I + R1, and N2 = S2 + I2. 1. Explain the physical meaning of the state variables and the parame- ters used. 2. Find the equilibria and discuss their stability.
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