Mathematical Models and Optimal Control in Mosquito Transmitted Diseases

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0

20

40

60

80

100

0

0.2

0.4

0.6

0.8

1

1.2

1.4

control u

b=0.75

b=0.7

b=0.6

b=0.5

b=0.4

b=0.3

b=0.25

Figure 7.7: Optimal control u for b = 0.25;0.3;0.4;0.5;0.6;0.7;0.75.

0

20

40

60

80

100

4000

4200

4400

4600

4800

5000

Time (in days)

Sv

b=0.75

without controls

with controls

(a) Susceptible mosquitos

0

20

40

60

80

100

0

200

400

600

800

1000

Time (in days)

Iv

b=0.75

without controls

with controls

(b) Infectious mosquitos

Figure 7.8: Susceptible and infectious mosquitos for b = 0.75 with and without control.

ACKNOWLEDGMENTS

This work was supported by the Portuguese Foundation for Science and Technology (FCT)

within project UIDB/04106/2020 (CIDMA). This chapter is partly based on work per-

formed within the framework of IMAAC (https://imaac.eu/) related to COST Ac-

tion CA16227 (Investigation & Mathematical Analysis of Avant-garde Disease Control via

Mosquito Nano-Tech-Repellents, https://cost.eu/actions/CA16227/), sup-

ported by COST Association (European Cooperation in Science and Technology).