A discrete-time mathematical model of stage-structured mosquito populations

Xing, Yanyuan; Liu, Jian; Guo, Zhiming

doi:10.1186/s13662-019-2449-x

Cited by 3 publications

(2 citation statements)

References 21 publications

(26 reference statements)

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“…Several other researchers reported that if the value of “ R” is greater than 1, the population of the species increases. They further reported that when the value of “ R” is equal to 1, the population of the species remains stable and when this value is less than 1, the population declines and the species goes extinct 44 , 45 . When the quantity of some diet ingredients in Diet 2 was increased (Diet 3) and fed it to larvae of Ae.…”

Section: Discussionmentioning

confidence: 99%

Effect of larval diets on the life table parameters of dengue mosquito, Aedes aegypti (L.) (Diptera: Culicidae) using age-stage two sex life table theory

Merali

Kamran

Khan

et al. 2023

Sci Rep

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The current study regarding the effects of larval diets on the life table parameters of dengue mosquitoes, Aedes aegypti was conducted under laboratory conditions at 27 ± 2 °C and 60 ± 5% relative humidity at NIFA (Nuclear Institute for Food and Agriculture) Peshawar, Pakistan. The data on life table parameters of Ae. aegypti reared on Diet 1 (replacement diet), Diet 2 (Khan’s diet for Anopheles), Diet 3 (Khan’s modified diet) and Diet 4 (IAEA diet) were analyzed using the age-stage, two-sex life table software. Diet 4 (IAEA) was used as a control for comparison. The results indicated that significantly maximum percentage of egg hatching of Ae. aegypti was observed when reared on Diet 4 (73.86%) and Diet 3 (72.90%), while less % of egg hatching was recorded in Diet 1 (40.67%) and Diet 2 (55.53%). The data further showed that the Diet 3 had a highest intrinsic rate of increase (r) (0.097 ± 5.68 day−1), finite rate of increase (λ) (1.10 ± 6.26 day−1) and net reproductive rate (R0) (11.99 ± 1.52 eggs/female) followed by Diet 2 and Diet 4. The mean generation time (T) of Ae. aegypti reared on Diet 3 (23.67 ± 0.86 days) and Diet 1 (24.05 ± 0.61 days) was significantly shorter than Diet 2 (26.15 ± 0.71 days) and Diet 4 (26.41 ± 0.38 days). The overall results revealed that Diet 3 showed good results at different life table parameters of Ae. aegypti and can be used as the preferred diet in the Sterile Insect Technique (SIT) where the mass culture of mosquitoes is required.

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Section: Discussionmentioning

confidence: 99%

Effect of larval diets on the life table parameters of dengue mosquito, Aedes aegypti (L.) (Diptera: Culicidae) using age-stage two sex life table theory

Merali

Kamran

Khan

et al. 2023

Sci Rep

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show abstract

“…In this paper, we investigate the dynamical properties of malaria in the human and mosquito populations with limited resource. Also, it should be noticed that only the adult female mosquitoes bite human beings and animals in order to take blood meals, and the male mosquitoes feed only on plant juices [12,19,25,30]. Female mosquitoes, which are involved in the transmission of vector-borne diseases will not lay viable eggs without blood meals.…”

Section: Introductionmentioning

confidence: 99%

Backward bifurcation in a malaria transmission model

Xing

Guo

Liu

2020

Journal of Biological Dynamics

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This paper proposes a malaria transmission model to describe the dynamics of malaria transmission in the human and mosquito populations. This model emphasizes the impact of limited resource on malaria transmission. We derive a formula for the basic reproductive number of infection and investigate the existence of endemic equilibria. It is shown that this model may undergo backward bifurcation, where the locally stable disease-free equilibrium co-exists with an endemic equilibrium. Furthermore, we determine conditions under which the disease-free equilibrium of the model is globally asymptotically stable. The global stability of the endemic equilibrium is also studied when the basic reproductive number is greater than one. Finally, numerical simulations to illustrate our findings and brief discussions are provided.

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A discrete tick population dynamics model with continuous and seasonal birth breeding

Zhang

2022

Int. J. Biomath.

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In this paper, we formulate a discrete two-stage model with two types of birth mechanisms, continuous and seasonal. We divide tick population into two subgroups, i.e. immature and mature. We also consider diapause as an important adaptive process for ticks in respond to climate change in both stages. We derive a formula for the inherent net reproductive numbers and explore their stability analysis. When breeding is continuous, there exists a unique globally asymptotically stable positive fixed point provided that the inherent net reproductive number is larger than one; the extinction fixed point is globally asymptotically stable if the inherent net reproductive number is less than one. When breeding is seasonal with 2-periodic birth function, there exists a unique globally asymptotically stable periodic solution provided that the inherent net reproductive number is larger than one, while the population goes to extinction if this value is less than one. For the cases with multi-periodic birth function, we use numerical simulation to compare their complex behaviors.

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A discrete-time mathematical model of stage-structured mosquito populations

Cited by 3 publications

References 21 publications

Effect of larval diets on the life table parameters of dengue mosquito, Aedes aegypti (L.) (Diptera: Culicidae) using age-stage two sex life table theory

Effect of larval diets on the life table parameters of dengue mosquito, Aedes aegypti (L.) (Diptera: Culicidae) using age-stage two sex life table theory

Backward bifurcation in a malaria transmission model

A discrete tick population dynamics model with continuous and seasonal birth breeding

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