, Since z(t) is defined for all t ? 0, it follows that ?(t) is defined for all t ? (0, +?), i.e. T + = +?. The results from Steps 1-2, Theorem 4, it follows that ?(t) ? z(t), for t ? [0, T + )
,
Bifurcation thresholds and optimal control in transmission dynamics of arboviral diseases, Journal of Mathematical Biology, vol.76, pp.379-427, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01253785
Backward bifurcation and control in transmission dynamics of arboviral diseases, Mathematical Biosciences, vol.278, pp.100-129, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01200471
Mathematical modeling of sterile insect technology for control of anopheles mosquito, Computers & Mathematics with Applications, vol.64, issue.3, pp.374-389, 2012. ,
URL : https://hal.archives-ouvertes.fr/halsde-00732800
An agent-based model of the population dynamics of anopheles gambiae, Malaria journal, vol.13, issue.1, p.424, 2014. ,
Le cycle gonotrophique, principe de base de la biologie de an. gambiae, Vop Fiziol Ekol Malar Komara, vol.1, issue.3 ,
Etude du cycle gonotrophique d'anopheles gambiae (diptera, culicidae)(giles, 1902) en zone de forêt dégradée d'afrique centrale, Cah ORSTOM sér Ent Med Parasitol, vol.17, pp.55-75, 1979. ,
Mosquitoes rely on their gut microbiota for development, Molecular ecology, vol.23, issue.11, pp.2727-2739, 2014. ,
Vector control for the chikungunya disease, Mathematical biosciences and engineering, vol.7, issue.2, pp.313-345, 2010. ,
URL : https://hal.archives-ouvertes.fr/cirad-00466218
Mathematical studies on the sterile insect technique for the chikungunya disease and aedes albopictus, Journal of mathematical Biology, vol.65, issue.5, pp.809-854, 2012. ,
Modelling sterile insect technique to control the population of anopheles gambiae, Malaria journal, vol.14, issue.1, p.92, 2015. ,
The chikungunya disease: modeling, vector and transmission global dynamics, Mathematical biosciences, vol.229, issue.1, pp.50-63, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-02304529
, The stability of dynamical systems, vol.25, 1976.
Mosquito-stage-structured malaria models and their global dynamics, SIAM Journal on Applied Mathematics, vol.72, issue.4, pp.1213-1237, 2012. ,
Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems, 2008. ,
, Ordinary differential equations
, Global brief on vector-borne diseases, World Health Organization, WHO
Global vector control response 2017-2030, World Health Organization ,