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Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 595487, 21 pages
http://dx.doi.org/10.1155/2012/595487
Research Article

Stability Analysis and Optimal Control of a Vector-Borne Disease with Nonlinear Incidence

1Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, H-12 Campus, Islamabad 44000, Pakistan
2Department of Mathematics, Pusan National University, Busan 609-735, Republic of Korea
3Department of Mathematics, Vaal University of Technology, Andries Potgieter Boulevard, Private Bag X021, Vanderbijlpark 1900, South Africa

Received 29 July 2012; Revised 17 September 2012; Accepted 17 September 2012

Academic Editor: M. De la Sen

Copyright © 2012 Muhammad Ozair et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [6 citations]

The following is the list of published articles that have cited the current article.

  • Muhammad Ozair, Abid Ali Lashari, Il Hyo Jung, Young Il Seo, and Byul Nim Kim, “Stability Analysis of a Vector-Borne Disease with Variable Human Population,” Abstract and Applied Analysis, vol. 2013, pp. 1–12, 2013. View at Publisher · View at Google Scholar
  • Shu-Min Guo, Xue-Zhi Li, and Mini Ghosh, “Analysis of a Dengue Disease Model with Nonlinear Incidence,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–10, 2013. View at Publisher · View at Google Scholar
  • Lin-Fei Nie, Zhi-Dong Teng, Juan J. Nieto, and Il Hyo Jung, “Dynamic Analysis of a Two-Language Competitive Model with Control Strategies,” Mathematical Problems in Engineering, vol. 2013, pp. 1–13, 2013. View at Publisher · View at Google Scholar
  • Bruno Buonomo, and Cruz Vargas-De-León, “Effects of Mosquitoes Host Choice on Optimal Intervention Strategies for Malaria Control,” Acta Applicandae Mathematicae, 2014. View at Publisher · View at Google Scholar
  • Muhammad Ozair, “Analysis of Pine Wilt Disease Model with Nonlinear Incidence and Horizontal Transmission,” Journal of Applied Mathematics, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Kwang Sung Lee, and Abid Ali Lashari, “Global Stability of a Host-Vector Model for Pine Wilt Disease with Nonlinear Incidence Rate,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar