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Mathematical Problems in Engineering
Volume 2014, Article ID 450935, 13 pages
http://dx.doi.org/10.1155/2014/450935
Research Article

The Effects of Resource Limitation on a Predator-Prey Model with Control Measures as Nonlinear Pulses

1College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
2Natural Resources Institute, University of Greenwich at Medway, Kent ME4 4TB, UK

Received 16 October 2013; Accepted 26 January 2014; Published 11 March 2014

Academic Editor: Jui-Sheng Lin

Copyright © 2014 Wenjie Qin 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 [7 citations]

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

  • Jin Yang, and Sanyi Tang, “Holling type II predator-prey model with nonlinear pulse as state-dependent feedback control,” Journal of Computational and Applied Mathematics, 2015. View at Publisher · View at Google Scholar
  • R. N. C. Guedes, G. Smagghe, J. D. Stark, N. Desneux, R. N. C. Guedes, G. Smagghe, J. D. Stark, and N. Desneux, “Pesticide-Induced Stress in Arthropod Pests for Optimized Integrated Pest Management Programs,” Annual Review Of Entomology, Vol 61, vol. 61, pp. 43–62, 2016. View at Publisher · View at Google Scholar
  • Xuewen Tan, Sanyi Tang, Xiaozhou Chen, Lianglin Xiong, and Xinzhi Liu, “A stochastic differential equation model for pest management,” Advances in Difference Equations, vol. 2017, no. 1, 2017. View at Publisher · View at Google Scholar
  • Yuan Tian, Sanyi Tang, and Xia Wang, “A Holling Type II Pest and Natural Enemy Model with Density Dependent IPM Strategy,” Mathematical Problems in Engineering, vol. 2017, 2017. View at Publisher · View at Google Scholar
  • Jin Yang, and Yuanshun Tan, “Effects of pesticide dose on Holling II predator–prey model with feedback control,” Journal of Biological Dynamics, vol. 12, no. 1, pp. 527–550, 2018. View at Publisher · View at Google Scholar
  • Jin Yang, Guangyao Tang, and Sanyi Tang, “Holling-Tanner Predator-Prey Model with State-Dependent Feedback Control,” Discrete Dynamics in Nature and Society, vol. 2018, pp. 1–18, 2018. View at Publisher · View at Google Scholar
  • Peipei Wang, Wenjie Qin, and Guangyao Tang, “Modelling and Analysis of a Host-Parasitoid Impulsive Ecosystem under Resource Limitation,” Complexity, vol. 2019, pp. 1–12, 2019. View at Publisher · View at Google Scholar