Mathematical Study of Hybrid Impulsive Pest Control Model with Stage Structuring
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References
D. Bainov and P. Simeonov, Impulsive dierential equations: periodic solutions and applications, CRC Press, 1993.
H.J. Barclay, Models for pest control using predator release, habitat management and pesticide release in combination, Journal of Applied Ecology, (1982), 337-348.
P. Cull, Global stability of population models, Bulletin of Mathematical Biology, 43 (1981), 47-58.
J. Dhar and K.S. Jatav, Mathematical analysis of a delayed stage-structured predator prey model with impulsive diffusion between two predators territories, Ecol. Complex, 16 (2013), 59-67.
Y. Ding, S. Gao, Y. Liu and Y. Lan, A pest management epidemic model with time delay and stage-structure, Applied Mathematics, 1(2010), 215-221.
N.C. Elliott, J.A. Farrell, A.P. Gutierrez, L. van , C. Joop, M.P. Walton and S. Wratten, Integrated pest management, Springer Science & Business Media, 1995.
B. Gupta, A. Sharma and S.K. Srivastava, Local and global stability of impulsive pest management model with biological hybrid control, International Journal of Mathematical Sciences & Engineering Research , 11(1989), 129-141.
B.J. Jacobsen, N.K. Zidack and B.J. Larson, The role of Bacillus-based biological control agents in integrated pest management systems: plant diseases, Phytopathology, 94 (2004), 1272-1275.
K.S. Jatav and J. Dhar, Hybrid approach for pest control with impulsive releasing of natural enemies and chemical pesticides: A plant{pest{natural enemy model, Nonlinear Analysis: Hybrid Systems, 12 (2014), 79-92.
K.S. Jatav, J. Dhar and A.K. Nagar, Mathematical study of stage-structured pests control through impulsively released natural enemies with discrete and distributed delays, Applied Mathematics and Computation, 238 (2014), 511-526.
T.K. Kar, A. Ghorai and S. Jana, Dynamics of pest and its predator model with disease in the pest and optimal use of pesticide, Journal of Theoretical Biology, 310 (2012), 187-198.
M.J. Kotchen, Incorporating resistance in pesticide management: a dynamic regional approach, Regional Sustainability, (1999), 126-135.
V. Lakshmikantham, D.D. Bainov and P.S. Simeonov, Theory of impulsive dierential equations, World Scientic, 1989.
Y. Liu, S. Gao and Y. Luo, Impulsive epidemic model with differential susceptibility and stage structure, Applied Mathematical Modelling, 36 (2012), 370-378.
B. Liu, Y. Zhang and L. Chen, The dynamical behaviors of a Lotka{Volterra predator{ prey model concerning integrated pest management, Nonlinear Analysis: Real World Applications, 6 (2005), 227-243.
Z. Ma, J. Yang and G. Jiang, A pets mamagement epidemic model with time delay and stage-structure, Appl. Math. Comput., 217(7) (2010), 3453-3460.
C.E. Rutiedge, R.I. O'Neil, T.B. Fox and D.A. Landis, Soybean aphid predators and their use in integrated pest management, Ann. Entomol. Soc. Am., 97(2004), 240-248.
R. Shi, X. Jiang and L. Chen, A predator{prey model with disease in the prey and two impulses for integrated pest management, Applied Mathematical Modelling, 33 (2009), 2248-2256.
X. Song and Z.Xiang, The prey-dependent consumption two-prey one-predator models with stage-structure for the predator and impulsive effects, J. Theoret. Biol.,242(2006), 683-698.
S. Tang, Y. Xiao, L. Chen and R.A. Cheke, Integrated pest management models and their dynamical behaviour, Bulletin of Mathematical Biology, 67 (2005), 115-135.
S. Tang and R.A. Cheke, State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences, Journal of Mathematical Biology, 50 (2005), 257-292.
S. Tang and L. Chen, Modelling and analysis of integrated pest management strategy, Discrete and Continuous Dynamical Systems Series B, 4 (2004), 759-768.
S. Tang and R.A. Cheke, Models for integrated pest control and their biological implications, Mathematical Biosciences, 215 (2008), 115-125.
W. Wang and L. Chen, A predator-prey system with stage-structure for predator, Computers & Mathematics with Applications, 33 (1997), 93-91.
X. Wang and X. Song, Mathematical models for the control of a pest population by infected pest, Computers & Mathematics with Applications, 56 (2008), 266-278.
H. Zhang, J. Jiao and L. Chen, Pest management through continuous and impulsive control strategies, Biosystems, 90 (2007), 350-361.
S. Zhang and L. Chen, A Holling II functional response food chain model with impulsive perturbations, Chaos, Solitons & Fractals, 24 (2005), 1269-1278.
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