2010
DOI: 10.1016/j.amc.2010.08.062
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Mathematical assessment of the role of non-linear birth and maturation delay in the population dynamics of the malaria vector

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Cited by 25 publications
(46 citation statements)
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“…The results obtained, depicted in Fig. 4, show convergence of the solutions to a stable limit cycle (arising via a supercritical Hopf bifurcation) (Ngwa et al 2010).…”
Section: Part (Ii)mentioning
confidence: 84%
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“…The results obtained, depicted in Fig. 4, show convergence of the solutions to a stable limit cycle (arising via a supercritical Hopf bifurcation) (Ngwa et al 2010).…”
Section: Part (Ii)mentioning
confidence: 84%
“…In order to achieve this objective, realistic functional forms of the temperature-and rainfall-dependent parameters of the model will be derived. The model (2.1) is an extension of the autonomous mosquito population biology model in Ngwa et al (2010), by adding: (i) the effect of temperature and rainfall, (ii) the aquatic stages of the mosquito and (iii) density-dependent larval mortality rate. It also extends the nonautonomous mosquito dynamics model in Cailly et al (2012) by giving a novel and realistic formulation of the temperature-and rainfall-dependent parameters of the model, as described below.…”
Section: F L (T R)mentioning
confidence: 99%
“…More generally, if the spread of a disease is modeled by a system of delay differential equations, such as in [10,18,19], then linearization about the equilibrium points, with the Jacobian matrix assumed to be diagonizable, leads to linearized delay differential equations of the type in (2). Thus, the general setting of this work is a linear delay differential equation (LDDE),…”
Section: I(t) Andmentioning
confidence: 99%
“…The approximation in (18) or (19) is implicit or explicit according as m = 0 or m > 0. It follows from the above reasoning that the denominator function ψ 1 (∆t) appeared naturally.…”
Section: Casementioning
confidence: 99%
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