Complex dynamics of a predator-prey model with harvesting effects on both predator and prey

سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 65

فایل این مقاله در 12 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_IJNAA-14-10_010

تاریخ نمایه سازی: 14 آبان 1402

چکیده مقاله:

A discrete predator-prey model with harvesting effects on both predator and prey is examined to reveal its chaotic dynamics. The model's existence and local stability analysis are investigated. It is demonstrated that the model experiences period-doubling bifurcation and Neimark-Sacker bifurcation by using bifurcation theory. Moreover, numerical examples are used to demonstrate the consistency of analytical conclusions as well as the model's complexity owing to harvesting effects. It is shown that changing the harvesting parameters affects not only the number of fixed points in the model, but also the occurrence of different bifurcations.

نویسندگان

Rizwan Ahmed

Department of Mathematics, Faculty of Basic and Applied Sciences, Air University Multan Campus, Multan, Pakistan

Muhammad Yazdani

Department of Mathematics, Faculty of Basic and Applied Sciences, Air University Multan Campus, Multan, Pakistan

Saba Saher

Department of Mathematics, Faculty of Sciences, National College of Business Administration and Economics Rahim Yar Khan Campus, Rahim Yar Khan, Pakistan

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :
  • H.N. Agiza, E.M. Elabbasy, H. El-Metwally, and A.A. Elsadany, Chaotic ...
  • R. Ahmed, Complex dynamics of a fractional-order predator-prey interaction with ...
  • R. Ahmed, A. Ahmad, and N. Ali, Stability analysis and ...
  • R. Ahmed and M.S. Yazdani, Complex dynamics of a discrete-time ...
  • S. Akhtar, R. Ahmed, M. Batool, N.A. Shah, and J.D. ...
  • C.J.L. Albert, Regularity and Complexity in Dynamical Systems, Springer-Verlag, New ...
  • M. Berkal and J.F. Navarro, Qualitative behavior of a two-dimensional ...
  • Q. Cui, Q. Zhang, Z. Qiu, and Z. Hu, Complex ...
  • Q. Din, Complexity and chaos control in a discrete-time prey-predator ...
  • Q. Din and U. Saeed, Bifurcation analysis and chaos control ...
  • Q. Din and M.I. Khan, A discrete-time model for consumer-resource ...
  • Z. Jing and J. Yang, Bifurcation and chaos in discrete-time ...
  • A.A. Khabyah, R. Ahmed, M.S. Akram, and S. Akhtar, Stability, ...
  • S. Kumar and H. Kharbanda, Chaotic behavior of predator-prey model ...
  • Y. Kuznetsov, Elements of Applied Bifurcation Theory, Applied Mathematical Sciences, ...
  • X. Liu and D.M. Xiao, Complex dynamic behaviors of a ...
  • J. Luo and Y. Zhao, Stability and bifurcation analysis in ...
  • H. Merdan and O. Duman, On the stability analysis of ...
  • M.G. Mortuja, M.K. Chaube, and S. Kumar, Dynamic analysis of ...
  • S. Pal, N. Pal, S. Samanta, and J. Chattopadhyay, Effect ...
  • P. K. Santra, G. S. Mahapatra, G.R. Phaijoo, Bifurcation analysis ...
  • S. Sharma and G.P. Samanta, Dynamical behaviour of age selective ...
  • Y. Sun, M. Zhao, and Y. Du, Bifurcations, chaos analysis ...
  • Q. Shu and J. Xie, Stability and bifurcation analysis of ...
  • S. Vinoth, R. Sivasamy, K. Sathiyanathan, B. Unyong, G. Rajchakit, ...
  • S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, ...
  • L.G. Yuan and Q.G. Yang, Bifurcation, invariant curve and hybrid ...
  • N. Zhang, F. Chen, and Q. Su, Dynamic behaviors of ...
  • Z. Zhu, Y. Chen, Z. Li, and F. Chen, Stability ...
  • نمایش کامل مراجع