[1] Huang C X, Huang Y C, Huang L H, et al. Dynamical behaviors of a food-chain model with stage structure and time delays. Adv Differ Equ, 2018, 2018(186):1-26
[2] Huang C X, Zhang H, Huang L H. Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term. Commun Pure Appl Anal, 2019, 18(6):3337-3349
[3] Clark C W. Mathematical models in the economics of renewable resources. SIAM Review, 197921(1):81-99
[4] Du Y, Peng R, Wang M. Effect of a protection zone in the diffusive Leslie predator-prey model. J Differ Equ, 2009, 246(10):3932-3956
[5] Ji C, Jiang D, Shi N. Analysis of a predator-prey model with modified Leslie-Gower and Holling-type Ⅱ schemes with stochastic perturbation. J Math Anal Appl, 2009, 359(2):482-498
[6] Ji C, Jiang D, Shi N. A note on a predator-prey model with modified Leslie-Gower and Holling-type Ⅱ schemes with stochastic perturbation. J Math Anal Appl, 2011, 377(1):435-440
[7] Gupta R P, Chandra P. Bifurcation analysis of modified Leslie-Gower predator-prey model with MichaelisMenten type prey harvesting. J Math Anal Appl, 2013, 398(1):278-295
[8] Gupta R P, Banerjee M, Chandra P. Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis-Menten type prey-harvesting. Differ Equ Dyn Syst, 2012, 20(3):339-366
[9] Chakraborty K, Das K, Yu H. Modeling and analysis of a modified Leslie-Gower type three species food chain model with an impulsive control strategy. Nonlinear Analysis:Hybrid Systems, 2015, 15:171-184
[10] Gordon H S. The economic theory of a common property resource:The fishery. J Political Economy, 1954, 62(2):124-142
[11] Kaczorek T. Reduced-order fractional descriptor observers for a class of fractional descriptor continuoustime nonlinear systems. Int J Appl Math Comput Sci, 2016, 26(2):277-283
[12] Liu C, Lu N, Zhang Q. Modeling and analysis in a prey-predator system with commercial harvesting and double time delays. Appl Math Comput, 2016, 281:77-101
[13] Zhang Q, Liu C, Zhang X. Complexity, Analysis and Control of Singular Biological Systems. London:Springer, 2012
[14] Zhao H, Zhang X, Huang X. Hopf bifurcation and spatial patterns of a delayed biological economic system with diffusion. Appl Math Comput, 2015, 266:462-480
[15] Zhang Y, Zhang Q, Yan X G. Complex dynamics in a singular Leslie-Gower predator-prey bioeconomic model with time delay and stochastic fluctuations. Physica A:Stat Mech Appl, 2014, 404(24):180-191
[16] Chakraborty K, Das S, Kar T K. Optimal control of effort of a stage structured prey-predator fishery model with harvesting. Nonlinear Analysis:Real World Applications, 2011, 12(6):3452-3467
[17] Glöckle W G, Nonnenmacher T F. A fractional calculus approach to self-similar protein dynamics. Biophysical Journal, 1995, 68(1):46-53
[18] Heymans N, Podlubny I. Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives. Rheologica Acta, 2005, 45(5):765-771
[19] Hilfer R. Applications of Fractional Calculus in Physics. Singapore:World Scientific, 2000
[20] Podlubny I. Fractional Differential Equations. San Diego:Mathematics in Science and Engineering, 1999
[21] Li X W, Liu Z H, Li J, et al. Existence and controllability for nonlinear fractional control systems with damping in Hibert spaces. Acta Math Sci, 2019, 39B(1):229-242
[22] Hu C Z, Liu B, Xie S F. Monotone iterative solutions for nonlinear boundary value problems of fractional differential equation with deviating arguments. Appl Math Comput, 2013, 222(1):72-81
[23] Jian H, Liu B, Xie S F. Monotone iterative solutions for nonlinear fractional differential systemswith deviating arguments. Appl Math Comput, 2015, 262(1):1-14
[24] Wei Z, Li Q, Che J. Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative. J Math Anal Appl, 2010, 367(1):260-272
[25] Ghaziani R K, Alidousti J, Eshkaftaki A B. Stability and dynamics of a fractional order Leslie-Gower prey-predator model. Appl Math Modell, 2016, 40(3):2075-2086
[26] Moustafa M, Mohd M H, Ismail A I, et al. Dynamical analysis of a fractional-order Rosenzweig-MacArthur model incorporating a prey refuge. Chaos Solitons and Fractals, 2018, 109:1-13
[27] Huang C, Cao J, Xiao M, et al. Controlling bifurcation in a delayed fractional predator-prey system with incommensurate orders. Appl Math Comput, 2017, 293:293-310
[28] Dai L. Singular Control Systems. Berlin:Springer, 1989
[29] N'Doye I, Darouach M, Zasadzinski M, et al. Robust stabilization of uncertain descriptor fractional-order systems. Automatica, 2013, 49(6):1907-1913
[30] Nosrati K, Shafiee M. Fractional-order singular logistic map:stability, bifurcation and chaos analysis. Chaos, Solitons and Fractals, 2018, 115:224-238
[31] Nosrati K, Shafiee M. Kalman filtering for discrete-time linear fractional-order singular systems. IET Control Theory and Applications, 2018, 12(9):1254-1266
[32] Kaczorek T, Rogowski K. Fractional Linear Systems and Electrical Circuits. Switzerland:Springer, 2015
[33] Nosrati K, Shafiee M. Dynamic analysis of fractional-order singular Holling type-Ⅱ predator-prey system. Appl Math Comput, 2017, 313:159-179
[34] Kilbas A, Srivastava H, Trujillo J. Theory and Applications of Fractional Differential Equations. Amsterdam:Elsevier, 2006
[35] Kai D. The Analysis of Fractional Differential Equations. Berlin:Springer, 2010
[36] Zhang H, Cao J D, Jiang W. Reachability and controllability of fractional singular dynamical systems with control delay. J Appl Math, 2013, 2013(1):1-10
[37] Petráš I. Fractional-Order Nonlinear Systems. Beijing:Higher Education Press, 2011
[38] Zhang X F, Chen Y Q. Admissibility and robust stabilization of continuous linear singular fractional order systems with the fractional order, α:The 0 < α < 1 case. ISA Transactions, 2018, 82:42-50
[39] Yang C, Zhang Q, Zhou L. Stability Analysis and Design for Nonlinear Singular Systems. Berlin:Springer, 2013
[40] Venkatasubramanian V, Schattler H, Zaborszky J. Local bifurcations and feasibility regions in differentialalgebraic systems. IEEE Trans Automatic Control, 1995, 40(12):1992-2013
[41] Beardmore R E. The singularity-induced bifurcation and its Kronecker normal form. SIAM J Matrix Anal Appl, 2001, 23(1):126-137
[42] Agrawal O P. A formulation and numerical scheme for fractional optimal control problems. J Vibr Contr, 2008, 14(9/10):1291-1299
[43] Atanackovic T M, Stankovic B. On a numerical scheme for solving differential equations of fractional order. Mechanics Research Communications, 2008, 35(7):429-438
