Dynamics of a Predator–Prey Model with Impulsive Diffusion and Transient/Nontransient Impulsive Harvesting
Abstract
:1. Introduction
2. The Model
3. Some Lemmas
4. The Dynamics
5. Numerical Simulations and Discussion
5.1. The Effect of the Transient Impulsive Harvesting on Populations
5.2. The Effect of Nontransient Impulsive Harvesting on Populations
6. Conclusions
- (1)
- All solutions of system are uniformly ultimately bounded.
- (2)
- If (36)–(39) hold, the solution of system is globally asymptotically stable.
- (3)
- If (64)–(66) hold, the solution of system is globally asymptotically stable.
- (4)
- If (67)–(68) hold, the trivial solution of system is globally asymptotically stable.
- (5)
- The permanent conditions of system have also been established, that is
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Quan, Q.; Dai, X.; Jiao, J. Dynamics of a Predator–Prey Model with Impulsive Diffusion and Transient/Nontransient Impulsive Harvesting. Mathematics 2023, 11, 3254. https://doi.org/10.3390/math11143254
Quan Q, Dai X, Jiao J. Dynamics of a Predator–Prey Model with Impulsive Diffusion and Transient/Nontransient Impulsive Harvesting. Mathematics. 2023; 11(14):3254. https://doi.org/10.3390/math11143254
Chicago/Turabian StyleQuan, Qi, Xiangjun Dai, and Jianjun Jiao. 2023. "Dynamics of a Predator–Prey Model with Impulsive Diffusion and Transient/Nontransient Impulsive Harvesting" Mathematics 11, no. 14: 3254. https://doi.org/10.3390/math11143254
APA StyleQuan, Q., Dai, X., & Jiao, J. (2023). Dynamics of a Predator–Prey Model with Impulsive Diffusion and Transient/Nontransient Impulsive Harvesting. Mathematics, 11(14), 3254. https://doi.org/10.3390/math11143254