DYNAMICS OF A DISCRETE COMMENSALISM MODEL WITH NON-SELECTIVE HARVESTING: DEPENDENCE ON THE HARVESTABLE PROPORTION M

Qianqian Su; Zhiqiang Zhang; Fengde Chen

doi:10.11948/20250070

2027 Volume 17 Issue 1

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Article navigation > Journal of Applied Analysis & Computation > 2027 > 17(1): 105-118

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Qianqian Su, Zhiqiang Zhang, Fengde Chen. DYNAMICS OF A DISCRETE COMMENSALISM MODEL WITH NON-SELECTIVE HARVESTING: DEPENDENCE ON THE HARVESTABLE PROPORTION M[J]. Journal of Applied Analysis & Computation, 2027, 17(1): 105-118. doi: 10.11948/20250070

Citation:

Qianqian Su, Zhiqiang Zhang, Fengde Chen. DYNAMICS OF A DISCRETE COMMENSALISM MODEL WITH NON-SELECTIVE HARVESTING: DEPENDENCE ON THE HARVESTABLE PROPORTION M[J]. Journal of Applied Analysis & Computation, 2027, 17(1): 105-118. doi: 10.11948/20250070

DYNAMICS OF A DISCRETE COMMENSALISM MODEL WITH NON-SELECTIVE HARVESTING: DEPENDENCE ON THE HARVESTABLE PROPORTION M

1.
School of Basic Sciences, Zhengzhou University of Technology, Zhengzhou, Henan 450053, China
2.
College of Architectural Engineering, Zhengzhou Business University, Zhengzhou, Henan 451200, China
3.
College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, China

Author Bio: Email: zhangzhiqiang08@gmail.com(Z. Zhang); Email: fdchen@263.net(F. Chen)
Corresponding author: Email: 1051818898@qq.com(Q. Su)

Abstract

Abstract

This paper proposes and studies a discrete commensalism model with non-selective harvesting and partial population closure. By applying difference inequality theory and standard computational techniques, sufficient conditions are derived for the permanence and extinction of the system, respectively. Furthermore, by constructing a suitable Lyapunov function, sufficient conditions for the global attractivity of the system are obtained. Finally, numerical simulations are provided to illustrate the validity of the theoretical results. The results reveal that increasing the closure fraction promotes species persistence, while excessive harvesting may lead to extinction.
- Commensalism /
- harvesting /
- permanence /
- extinction /
- global attractivity
MSC: 39A30, 39A22, 39A60, 92D25

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References

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