A sex-structured model with birth pulse and release strategy for the spread of Wolbachia in mosquito population

Li, Yazhi; Liu, Xianning

doi:10.1016/j.jtbi.2018.04.001

“…To prevent and control the spread of mosquito-borne diseases such as malaria, dengue fever and Zika, effective and biologically safe approaches are to suppress the wild mosquito populations by using the sterile insect technique (SIT), the genetic approaches, and the Wolbachia-driven mosquito control technique, in which sterile mosquitoes, including irradiated and Wolbachia-infected male mosquitoes, are released into the wild to mate with wild female mosquitoes [1][2][3][4][5][6]. Various mathematical models have been developed to study the dynamics of mosquito populations with the release of sterile mosquitoes, we refer to [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Stability and periodicity in a mosquito population suppression model composed of two sub-models

Zhu

¹

,

Zheng

²

,

Shi

³

et al. 2021

View full text Add to dashboard Cite

In this paper, we propose a mosquito population suppression model which is composed of two sub-models switching each other. We assume that the releases of sterile mosquitoes are periodic and impulsive, only sexually active sterile mosquitoes play a role in the mosquito population suppression process, and the survival probability is density-dependent. For the release waiting period T and the release amount c, we find three thresholds denoted by $$T^*$$ T ∗ , $$g^*$$ g ∗ , and $$c^*$$ c ∗ with $$c^*>g^*$$ c ∗ > g ∗ . We show that the origin is a globally or locally asymptotically stable equilibrium when $$c\ge c^*$$ c ≥ c ∗ and $$T\le T^*$$ T ≤ T ∗ , or $$c\in (g^*, c^*)$$ c ∈ ( g ∗ , c ∗ ) and $$T<T^*$$ T < T ∗ . We prove that the model generates a unique globally asymptotically stable T-periodic solution when either $$c\in (g^*, c^*)$$ c ∈ ( g ∗ , c ∗ ) and $$T=T^*$$ T = T ∗ , or $$c>g^*$$ c > g ∗ and $$T>T^*$$ T > T ∗ . Two numerical examples are provided to illustrate our theoretical results.

show abstract

“…Yet, many key aspects of mating interactions such as the role of female mate choice and the benefits females gain from being choosy remain unclear. Thus, models built to predict successful release strategies often do not account for variation in male mating success 18 – 21 .…”

Section: Introductionmentioning

confidence: 99%

Sex, age, and parental harmonic convergence behavior affect the immune performance of Aedes aegypti offspring

Reitmayer

¹

,

Pathak

²

,

Harrington

³

et al. 2021

View full text Add to dashboard Cite

Harmonic convergence is a potential cue, female mosquitoes use to choose male mates. However, very little is known about the benefits this choice confers to offspring performance. Using Aedes aegypti (an important vector of human disease), we investigated whether offspring of converging parental pairs showed differences in immune competence compared to offspring derived from non-converging parental pairs. Here we show that harmonic convergence, along with several other interacting factors (sex, age, reproductive, and physiological status), significantly shaped offspring immune responses (melanization and response to a bacterial challenge). Harmonic convergence had a stronger effect on the immune response of male offspring than on female offspring. Further, female offspring from converging parental pairs disseminated dengue virus more quickly than offspring derived from non-converging parental pairs. Our results provide insight into a wide range of selective pressures shaping mosquito immune function and could have important implications for disease transmission and control.

show abstract

“…Yet, many key aspects of mating interactions such as the role of female mate choice and the benefits females gain from being choosy remain unclear. Thus, models built to predict successful release strategies often do not account for variation in male mating success (18)(19)(20)(21).…”

Section: Introductionmentioning

confidence: 99%

Sex, Age, and Parental Harmonic Convergence Behavior Affect the Immune Performance ofAedes aegyptiOffspring

Reitmayer

¹

,

Pathak

²

,

Harrington

³

et al. 2020

Preprint

View full text Add to dashboard Cite

Aedes aegypti is an important vector of several pathogenic arboviruses including dengue, chikungunya and Zika. Innovative approaches to control Aedes populations, involving synthetic transgenic modifications as well as Wolbachia bacteria, appear promising. For the various techniques requiring offspring inheritance of a trait, released males must successfully compete for mating partners against wildtype males. However, very little is known about mechanisms of mate selection in mosquitoes in general and in particular about potential correlations between mating success and offspring immune performance.Harmonic convergence signals have been proposed as a cue for females to predict male quality. We investigated whether offspring of converging parental pairs showed differences in immune competence compared to offspring derived from non-converging parental pairs using three different types of immune assays. We found that offspring immune responses (melanization response and response to a bacterial challenge) differed between offspring from converging and non-converging parents. However, immune responses were shaped by several interacting factors such as sex, age, reproductive status, and parental mating behavior. Parental mating behavior had a stronger effect on the immune response of male offspring than on female offspring. Further, a population of female offspring derived from converging parental pairs reached their peak dengue virus dissemination rate earlier compared to a population of offspring derived from non-converging parental pairs. Our results provide insight into a wide range of selective pressures shaping mosquito immune function. Evolutionary trade-offs between naturally and sexually selected traits can have important implications for disease transmission and control and should be considered in the development of reproductive control strategies.

show abstract

A sex-structured model with birth pulse and release strategy for the spread of Wolbachia in mosquito population

Cited by 23 publications

References 40 publications

Stability and periodicity in a mosquito population suppression model composed of two sub-models

Stability and periodicity in a mosquito population suppression model composed of two sub-models

Sex, age, and parental harmonic convergence behavior affect the immune performance of Aedes aegypti offspring

Sex, Age, and Parental Harmonic Convergence Behavior Affect the Immune Performance ofAedes aegyptiOffspring

Contact Info

Product

Resources

About