LOGÍSTICA

V_L(t)

t

L

GOMPERTZ

INICIAR

VELOCIDAD-LOGÍSTICA-MÁXIMA

VELOCIDAD-MÁXIMA-LOGÍSTICO

VelGompertz

TANGENTE

m_T=ΔC/Δt

VELOCIDAD-MÁXIMA-GOMPERTZ

G

PUNTO-DE-INFLEXIÓN-GOMPERTZ

TANGENTE-GOMPERTZ

m_T

L

Δt

ΔC

VELOCIDAD-MÁXIMA-GOMPERTZ

Máximo de Infectados

A51: 50
A52: A51 + 1
P_0: 3
b_1 = 0.038 (slider from 0.01 to 0.07, step 0.001)
a_1 = 54100 (slider from 15000 to 100000, step 1)
a_2 = 1320 (slider from 0 to 2000)
b_2 = 0.12 (slider from 0 to 2, step 0.001)
c_2 = 36000 (slider from 0 to 100000)
L(t) = If[t ≥ 0, c_2 / (1 + (a_2 * ℯ^(((-b_2) * t))))]
A1: 0
B1: 3
A2 = Derivative(L, 2)
B2: 4
A3: 2
B3: 5
A4: 3
B4: 5
A5: 4
B5: 5
A6: 5
B6: 5
A7: 6
B7: 5
A8: 7
B8: 6
A9: 8
B9: 7
A10: 9
B10: 7
A11: 10
B11: 7
A12: 11
B12: 7
A13: 12
B13: 11
A14: 13
B14: 15
A15: 14
B15: 26
A16: 15
B16: 41
A17: 16
B17: 53
A18: 17
B18: 82
A19: 18
B19: 93
A20: 19
B20: 118
A21: 20
B21: 164
A22: 21
B22: 203
A23: 22
B23: 251
A24: 23
B24: 316
A25: 24
B25: 367
A26: 25
B26: 405
A27: 26
B27: 475
A28: 27
B28: 585
A29: 28
B29: 717
A30: 29
B30: 848
A31: 30
B31: 993
A32: 31
B32: 1094
A33: 32
B33: 1215
A34: 33
B34: 1378
A35: 34
B35: 1510
A36: 35
B36: 1688
A37: 36
B37: 1890
A38: 37
B38: 2143
A39: 38
B39: 2439
A40: 39
B40: 2785
V(t) = (NDerivative[L] * 6)
tiempo = 200 (slider from 0 to 200, step 2.0E-4)
A = Point(V)
d = Circle(A, tiempo)
B, D = Intersect(d, xAxis)
f = OrthogonalLine(D, xAxis)
E = Intersect(L, f)
g = OrthogonalLine(E, yAxis)
F = Intersect(g, yAxis)
G(t) = If[t > 0, (a_1 * ℯ^(((-log(a_1 / P_0)) * ℯ^(((-b_1) * t)))))]
h = Segment(F, E)
i = Segment(E, D)
MÁXIMO = Extremum(V)
j = OrthogonalLine(MÁXIMO, xAxis)
H = Intersect(L, j)
A41: 40
B41: 3181
t: 0
A42: 41
B42: 3441
Acelera(t) = (Derivative[L, 2] * 30)
VG(t) = (NDerivative[G] * 6)
l1: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41)}
k = Tangent(E, L)
C = Intersect(V, i, (199.0366284338232, 0.0014499323803337319))
I = Point(k)
c = Circle(E, I)
l = OrthogonalLine(I, xAxis)
m = OrthogonalLine(E, yAxis)
J = Intersect(m, l)
m_1 = Slope(k)
A43: 42
B43: 3844
l2: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42)}
K = Intersect(G, i)
M = Intersect(VG, i, (199.0366284338232, 62.43217142827116))
N = Extremum(VG)
q = OrthogonalLine(N, xAxis)
O = Intersect(G, f)
P = Intersect(G, q)
r = Tangent(O, G)
e = Circle(O, 2000)
Q, Q_1 = Intersect(G, e)
s = OrthogonalLine(O, yAxis)
m_2 = Slope(r)
R = Point(m)
n = OrthogonalLine(R, m)
S = Intersect(n, k)
p = Segment(E, R)
a = Segment(R, S)
A44: 43
B44: 4219
l3: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43)}
A45: 44
B45: 4661
l4: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44)}
l5: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44)}
l6: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44)}
T = Intersect(G, q)
U = Intersect(G, f)
c_1 = Circle(A, c_2)
W, Z = Intersect(c_1, yAxis)
A46: 45
B46: 5014
l7: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44), (A46, B45)}
d_1 = Circle(A, a_1)
A_1, B_1 = Intersect(d_1, yAxis)
b = OrthogonalLine(B_1, yAxis)
B47: 5399
A47: 46
l8: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44), (A46, B45), (A47, B46)}
A48: 47
B48: 5847
l9: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44), (A46, B45), (A47, B46), (A48, B47)}
l10: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44), (A46, B45), (A47, B46), (A48, B47)}
A49: 48
B49: 6297
A50: 49
B50: 6875
l11: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44), (A46, B45), (A47, B46), (A48, B47), (A49, B48), (A50, B49)}
B51: 7497
A53: A52 + 1
l12: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44), (A46, B45), (A47, B46), (A48, B47), (A49, B48), (A50, B49), (A51, B50)}
B52: 8261
l13: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44), (A46, B45), (A47, B46), (A48, B47), (A49, B48), (A50, B49), (A51, B50), (A53, B51)}
A54: A53 + 1
A55: A54 + 1
A56: A55 + 1
A57: A56 + 1
A58: A57 + 1
A59: A58 + 1
B53: 8772
B54: 9501
B55: 10544
B56: 11633
B57: 12872
B58: 13842
B59: 14677
B60: 15529
A60: A59 + 1
l14: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44), (A46, B45), (A47, B46), (A48, B47), (A49, B48), (A50, B49), (A51, B50), (A52, B51), (A53, B52), (A54, B53), (A55, B54), (A56, B55), (A57, B56), (A58, B57), (A59, B58), (A60, B59)}
B61: 16752
B62: 17799
B63: 19224
B64: 20739
B65: 22088
B66: 23471
B67: 24905
A61: A60 + 1
A62: A61 + 1
A63: A62 + 1
A64: A63 + 1
A65: A64 + 1
A66: A65 + 1
A67: A66 + 1
l15: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44), (A46, B45), (A47, B46), (A48, B47), (A49, B48), (A50, B49), (A51, B50), (A52, B51), (A53, B52), (A54, B53), (A55, B54), (A56, B55), (A57, B56), (A58, B57), (A59, B58), (A60, B59), (A61, B60), (A62, B61), (A63, B62), (A64, B63), (A65, B64), (A66, B65), (A67, B66)}
A68: A67 + 1
B68: 27634
l16: {(A1, B1), (A3, B2), (A4, B3), (A5, B4), (A6, B5), (A7, B6), (A8, B7), (A9, B8), (A10, B9), (A11, B10), (A12, B11), (A13, B12), (A14, B13), (A15, B14), (A16, B15), (A17, B16), (A18, B17), (A19, B18), (A20, B19), (A21, B20), (A22, B21), (A23, B22), (A24, B23), (A25, B24), (A26, B25), (A27, B26), (A28, B27), (A29, B28), (A30, B29), (A31, B30), (A32, B31), (A33, B32), (A34, B33), (A35, B34), (A36, B35), (A37, B36), (A38, B37), (A39, B38), (A40, B39), (A41, B40), (A42, B41), (A43, B42), (A44, B43), (A45, B44), (A46, B45), (A47, B46), (A48, B47), (A49, B48), (A50, B49), (A51, B50), (A52, B51), (A53, B52), (A54, B53), (A55, B54), (A56, B55), (A57, B56), (A58, B57), (A59, B58), (A60, B59), (A61, B60), (A62, B61), (A63, B62), (A64, B63), (A65, B64), (A66, B65), (A67, B66), (A68, B67)}