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• [1] C. W. Clark, Mathematical Bioeconomics: The Optimal Management of Renewable Resources, Wiley, New York, 1976.
• [2] M. Mesterton-Gibbons, On the optimal policy for the combined harvesting of predator and prey, Nat. Resour. Model., 3 (1988), 63-90.
• [3] M. Mesterton-Gibbons, A technique for finding optimal two species harvesting policies, Ecol. Model., 92 (1996), 235-244.
• [4] O. Flaaten, On the bioeconomics of predator-prey fishery, Fish. Res., 37 (1998), 179-191.
• [5] T. G. Hallam, C. W. Clark, Non-autonomous logistic equations as models of populations in a deteriorating environment, J. Theoret. Biol, 93 (1982), 303-313.
• [6] T. K. Kar, K. S. Chaudhuri, On non-selective harvesting of two competing fish species in the presence of toxicity, Ecol. Model., 161 (2003), 125-137.
• [7] J. Chattopadhyay, Effect of toxic substanceson a two species competitive system, Ecol. Model., 84 (1996), 287-289.
• [8] T. G. Hallam, J. T. De Luna, Effects of toxicants on populations: a qualitative approach 3. Environmental and food chain pathways, J. Theoret. Biol., 199 (1984), 411-429.
• [9] H. I. Freedman, J. B. Shukla, Models for the effect of toxicant in a single species and predator-prey systems, J. Math. Biol., 30 (1900), 15-30.
• [10] D. Mukherjee, Persistence and global stability of a population in a polluted environment with delay, J. Biol. Syst., 10(3) (2002), 1-8.
• [11] J. M. Smith, Mathematical Models in Biology, Cambridge University Press. Cambridge, 1968.
• [12] M. Haque, S. Sarwardi, Effect of toxicity on a harvested fishery model, Model. Earth Syst. Environ., 2 (2016), 122.
• [13] D. Hu, H. Cao, Stability and bifurcation analysis in a predator-prey system with Michaelis-Menten type predator harvesting, Nonlinear Anal. Real World Appl., 33 (2017), 58-82.
• [14] H. N. Agiza, E. M. Elabbasy, EI-Metwally, A. A. Elasdany, Chaotic dynamics of a discrete predator-prey model with Holling type II, Nonlinear Anal. Real World Appl., 10 (2009), 116-129.
• [15] Q. Din, Complexity and chaos control in a discrete time prey-predator model, Commun. Nonlinear Sci. Numer. Simul., 49 (2017), 113-134.
• [16] M. E. Elettreby, T. Nabil, A. Khawagi, Stability and bifurcation analysis of a discrete predator-prey model with mixed Holling interaction, Computer Modeling in Engineering and Sciences., 122 (2020), 907-921.
• [17] A. Hening, Coexistence, extinction, and optimal harvesting in discrete-time stochastic population models, J. Nonlinear Sci., 31 (2021), 1-50.
• [18] W. Ding, S. Lenhart, H. Behncke, Discrete time optimal harvesting of fish populations with age structure, Lett. Biomath., 1 (2014), 193-207.
• [19] G. Y. Chen, Z. D. Teng, On the stability in a discrete two species competition system. J. Appl. Math. Comput., 38 (2012), 25-39.
• [20] S. Elaydi, Discrete Chaos with Applications in Science and Engineering, Chapman and Hall/CRC, Boca Raton, Fla, USA, 2000.
• [21] X. S. Luo, G. Chen, B. H. Wang, J. Q. Fang, Hybrid control of period-doubling bifurcation and chaos in discrete nonlinear dynamical systems, Chaos Solitons & Fractals, 18 (2003), 775-783.
• [22] L. Wang, M. Wang, Ordinary Difference Equations, Xin Jiang University Press, Urmuqi, 1989.