• Previous Article
    Epidemic models with differential susceptibility and staged progression and their dynamics
  • MBE Home
  • This Issue
  • Next Article
    The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth
2009, 6(2): 301-319. doi: 10.3934/mbe.2009.6.301

Culling structured hosts to eradicate vector-borne diseases

1. 

Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an, 710049, China

2. 

Department of Mathematics, Shandong Normal University, Jinan, 250014, China

3. 

Center for Disease Modeling, York University, Toronto, Ontario, M3J 1P3, Canada

Received  February 2007 Revised  September 2008 Published  March 2009

A compartmental model is developed, in the form of a nonautonomous system of delay differential equations subject to impulses at specific times, for mosquito-born disease control involving larvicides and insecticide sprays. Sufficient conditions in terms of the frequencies and rates of larvicides and insecticide sprays are derived, and numerical simulations are provided to illustrate the sharpness of these disease eradication conditions.
Citation: Xinli Hu, Yansheng Liu, Jianhong Wu. Culling structured hosts to eradicate vector-borne diseases. Mathematical Biosciences & Engineering, 2009, 6 (2) : 301-319. doi: 10.3934/mbe.2009.6.301
[1]

Laurent Di Menza, Virginie Joanne-Fabre. An age group model for the study of a population of trees. Discrete & Continuous Dynamical Systems - S, 2020  doi: 10.3934/dcdss.2020464

[2]

Ebraheem O. Alzahrani, Muhammad Altaf Khan. Androgen driven evolutionary population dynamics in prostate cancer growth. Discrete & Continuous Dynamical Systems - S, 2020  doi: 10.3934/dcdss.2020426

[3]

Giuseppina Guatteri, Federica Masiero. Stochastic maximum principle for problems with delay with dependence on the past through general measures. Mathematical Control & Related Fields, 2020  doi: 10.3934/mcrf.2020048

[4]

Xin-Guang Yang, Lu Li, Xingjie Yan, Ling Ding. The structure and stability of pullback attractors for 3D Brinkman-Forchheimer equation with delay. Electronic Research Archive, 2020, 28 (4) : 1395-1418. doi: 10.3934/era.2020074

[5]

Jianquan Li, Xin Xie, Dian Zhang, Jia Li, Xiaolin Lin. Qualitative analysis of a simple tumor-immune system with time delay of tumor action. Discrete & Continuous Dynamical Systems - B, 2020  doi: 10.3934/dcdsb.2020341

[6]

Soniya Singh, Sumit Arora, Manil T. Mohan, Jaydev Dabas. Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces. Evolution Equations & Control Theory, 2020  doi: 10.3934/eect.2020103

[7]

Fathalla A. Rihan, Hebatallah J. Alsakaji. Stochastic delay differential equations of three-species prey-predator system with cooperation among prey species. Discrete & Continuous Dynamical Systems - S, 2020  doi: 10.3934/dcdss.2020468

2018 Impact Factor: 1.313

Metrics

  • PDF downloads (22)
  • HTML views (0)
  • Cited by (3)

Other articles
by authors

[Back to Top]