delvdelsdsdts si ilambda mu s beta si phi mu alpha i delvdelididts si iphi mu beta iibeta si phi

Name: delvdelsdsdts si ilambda mu s beta si phi mu alpha i delvdelididts si iphi mu beta iibeta si phi mu alpha i find dvdt by showing the sum these two expressions dvdtdelvdelsdsdtdelvdelididt su 43252
Uploaded: 2020-11-05T08:30:13-08:00
Duration: 1 min 19 s
Channel: Sriram Soundarrajan
Description: delvdelsdsdts si ilambda mu s beta si phi mu alpha i delvdelididts si iphi mu beta iibeta si phi mu alpha i find dvdt by showing the sum these two expressions dvdtdelvdelsdsdtdelvdelididt su 43252

Step 1: Substitute the given expressions for (delV)/(delS)(dS)/(dt) and (delV)/(delI)(dI)/(dt) i

Question

(delV)/(delS)(dS)/(dt)=[(S-S^())+(I-I^())][(Lambda -mu S)-(eta SI-(phi +mu +alpha )I)] (delV)/(delI)(dI)/(dt)=[(S-S^())+(I-I^())][(phi +mu )/(eta I)(I^())][(eta SI-(phi +mu +alpha )I)] find (dV)/(dt), by showing the sum these two expressions: (dV)/(dt)=(delV)/(delS)(dS)/(dt)+(delV)/(delI)(dI)/(dt) Substitute the given expressions and simplify. Given that (dV)/(dt) is supposed to take the form: (dV)/(dt)=-c_(1)(S-S^())^(2)-c_(2)(I-I^())^(2)-c_(3)(I(R_(0)-1)) This is where we match terms from the expanded version of (dV)/(dt) with the constants c_(1),c_(2), and c_(3) to verify that the equation is consistent with the expected form. av dP as dt av dI dt :[(S-S)+(I-I)][(- S) -(3SI -(++ a)I)] [(I(+n+) -IS8)][(1)H][(I -I)+(S-S)]= dV dt Ae as dt aV. dI dt dt. dV = -c1(S -S)2 - c2(I -I)2 - C3(I(Ro -1) dt dt to verify that the eguation is consistent with the expected form.

          (delV)/(delS)(dS)/(dt)=[(S-S^(*))+(I-I^(*))][(Lambda -mu S)-(eta SI-(phi +mu +alpha )I)]
(delV)/(delI)(dI)/(dt)=[(S-S^(*))+(I-I^(*))][(phi +mu )/(eta I)(I^(*))][(eta SI-(phi +mu +alpha )I)]
 find (dV)/(dt), by showing the sum these two expressions:
(dV)/(dt)=(delV)/(delS)(dS)/(dt)+(delV)/(delI)(dI)/(dt)
Substitute the given expressions and simplify. Given that (dV)/(dt) is supposed to take the form:
(dV)/(dt)=-c_(1)(S-S^(*))^(2)-c_(2)(I-I^(*))^(2)-c_(3)(I(R_(0)-1))
This is where we match terms from the expanded version of (dV)/(dt) with the constants c_(1),c_(2), and c_(3)
to verify that the equation is consistent with the expected form.
av dP as dt av dI dt
:[(S-S*)+(I-I*)][(- S) -(3SI -(++ a)I)] [(I(+n+) -IS8)][(1)H][(I -I)+(*S-S)]=
dV dt
Ae as dt
aV. dI dt
dt.
dV = -c1(S -S*)2 - c2(I -I*)2 - C3(I(Ro -1) dt
dt
to verify that the eguation is consistent with the expected form.

delvdelsdsdts si ilambda mu s beta si phi mu alpha i delvdelididts si iphi mu beta iibeta si phi mu alpha i find dvdt by showing the sum these two expressions dvdtdelvdelsdsdtdelvdelididt su 43252

Added by Charles C.

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