Chimera and cluster collective states in a dispersal ecological network under state-dependent feedback control and complex habitat structure

References

• D.M. Abrams and S.H. Strogatz, Chimera states for coupled oscillators, Phys. Rev. Lett. 93 (2004), doi:https://doi.org/10.1103/PhysRevLett.93.174102.
   Google Scholar
• O. Akman, T.D. Comar, and D. Hrozencik, Model selection for integrated pest management with stochasticity, J. Theor. Biol. 442 (2017), pp. 110–122.
   PubMedGoogle Scholar
• O. Akman, T. Comar, and M. Henderson, An analysis of an impulsive stage structured integrated pest management model with refuge effect, Chaos Solitons Fractals. 111 (2018), pp. 44–54.
   Google Scholar
• T. Banerjee, P.S. Dutta, A. Zakharova, and E. Schöll, Chimera patterns induced by distance-dependent power-law coupling in ecological networks, Phys. Rev. E. 94 (2016), p. 032206.
   Google Scholar
• B.K. Bera and D. Ghosh, Chimera states in purely local delay-coupled oscillators, Phys. Rev. E. 93 (2016), p. 052223.
   Google Scholar
• B. Bera, D. Ghosh, and M. Lakshmanan, Chimera states in bursting neurons, Phys. Rev. E 93 (2016), p. 012205.
   Google Scholar
• B. Bera, D. Ghosh, and T. Banerjee, Imperfect traveling chimera states induced by local synaptic gradient coupling, Phys. Rev. E. 94 (2016), p. 012215.
   Google Scholar
• B.K. Bera, S. Majhi, D. Ghosh, and M. Perc, Chimera states: Effects of different coupling topologies, Europhys. Lett. 118 (2017), p. 10001.
   Google Scholar
• L.H. Blommers, Integrated pest management in European apple orchards, Annu. Rev. Entomol. 39 (1994), pp. 213–241.
   Web of Science ®Google Scholar
• F. Guichard and T.C. Gouhier, Non-equilibrium spatial dynamics of ecosystems, Math. Biosci. 255 (2014), pp. 1–10.
   PubMedGoogle Scholar
• L.G. Higley and L.P. Pedigo, Economic Thresholds for Integrated Pest Management. University of Nebraska Press, 1996.
   Google Scholar
• J. Hizanidis, E. Panagakou, I. Omelchenko, E. Schöll, P. Hövel, and A. Provata, Chimera states in population dynamics: Networks with fragmented and hierarchical connectivities, Phys. Rev. E. 92 (2015), p. 012915.
   Google Scholar
• M.D. Holland and A. Hastings, Strong effect of dispersal network structure on ecological dynamics, Nature. 456 (2008), pp. 792–794.
   PubMedGoogle Scholar
• G. Jiang, Q. Lu, and L. Qian, Complex dynamics of a Holling type ii prey–predator system with state feedback control, Chaos Solitons Fractals. 31 (2007), pp. 448–461.
   Web of Science ®Google Scholar
• F.P. Kemeth, S.W. Haugland, L. Schmidt, I.G. Kevrekidis, and K. Krischer, A classification scheme for chimera states, Chaos 26 (2016), p. 094815.
   Google Scholar
• M. Kogan, Integrated pest management: Historical perspectives and contemporary developments, Annu. Rev. Entomol. 43 (1998), pp. 243–270.
   PubMed Web of Science ®Google Scholar
• S. Kundu, B. Bera, D. Ghosh, and M. Lakshmanan, Chimera patterns in three-dimensional locally coupled systems, Phys. Rev. E. 99 (2019), p. 022204.
   Google Scholar
• Y. Kuramoto and D. Battogtokh, Coexistence of coherence and incoherence in nonlocally coupled phase oscillators: A soluble case, preprint (2002). Available at arXiv:0210694.
   Google Scholar
• J.V. Lenteren and J. Woets, Biological and integrated pest control in greenhouses., Annu. Rev. Entomol. 33 (1988), pp. 239–269.
   Google Scholar
• L. Liu, C. Xiang, G. Tang, and Y. Fu, Sliding dynamics of a Filippov forest-pest model with threshold policy control, Complexity 2019 (2019), pp. 1–17.
   Web of Science ®Google Scholar
• S. Majhi, B.K. Bera, D. Ghosh, and M. Perc, Chimera states in neuronal networks: A review, Phys. Life Rev. 28 (2019), pp. 100–121.
   PubMed Web of Science ®Google Scholar
• J.N. Marleau, F. Guichard, and M. Loreau, Meta-ecosystem dynamics and functioning on finite spatial networks, Proc. R. Soc. B 281 (2014), p. 20132094.
   Google Scholar
• M.E. Newman, The structure and function of complex networks, SIAM Rev. 45 (2003), pp. 167–256.
   Web of Science ®Google Scholar
• L. Nie, Z. Teng, L. Hu, and J. Peng, Existence and stability of periodic solution of a predator–prey model with state-dependent impulsive effects, Math. Comput. Simul. 79 (2009), pp. 2122–2134.
   Google Scholar
• I. Omelchenko, Y. Maistrenko, P. Hövel, and E. Schöll, Loss of coherence in dynamical networks: Spatial chaos and chimera states, Phys. Rev. Lett. 106 (2011), p. 234102.
   PubMed Web of Science ®Google Scholar
• S. Saha, N. Bairagi, and S.K. Dana, Chimera states in ecological network under weighted mean-field dispersal of species, Front. Appl. Math. Stat. 5 (2019), p. 00015.
   Google Scholar
• I.A. Shepelev and T.E. Vadivasova, External localized harmonic influence on an incoherence cluster of chimera states, Chaos Solitons Fractals. 133 (2020), p. 109642.
   Google Scholar
• C.F. Steiner, R.D. Stockwell, V. Kalaimani, and Z. Aqel, Population synchrony and stability in environmentally forced metacommunities, Oikos 122 (2013), pp. 1195–1206.
   Google Scholar
• S. Tang and L. Chen, Modelling and analysis of integrated pest management strategy, Discrete Contin. Dyn. Syst. B. 4 (2004), pp. 759–768.
   Google Scholar
• S. Tang, Y. Xiao, and R.A. Cheke, Multiple attractors of host-parasitoid models with integrated pest management strategies: Eradication, persistence and outbreak, Theor. Popul. Biol. 73 (2008), pp. 181–197.
   PubMed Web of Science ®Google Scholar
• S. Tang, J. Liang, Y. Tan, and R.A. Cheke, Threshold conditions for integrated pest management models with pesticides that have residual effects, J. Math. Biol. 66 (2013), pp. 1–35.
   PubMed Web of Science ®Google Scholar
• G. Tang, S. Tang, and R.A. Cheke, Global analysis of a Holling type II predator–prey model with a constant prey refuge, Nonlinear Dyn. 76 (2014), pp. 635–647.
   Google Scholar
• S. Tang, W. Pang, R.A. Cheke, and J. Wu, Global dynamics of a state-dependent feedback control system, Adv. Differ. Equ. 2015 (2015), pp. 322–391.
   Google Scholar
• S. Tang, B. Tang, A. Wang, and Y. Xiao, Holling II predator–prey impulsive semi-dynamic model with complex Poincare map, Nonlinear Dyn. 81 (2015), pp. 1575–1596.
   Web of Science ®Google Scholar
• S. Tang, C. Li, B. Tang, and X. Wang, Global dynamics of a nonlinear state-dependent feedback control ecological model with a multiple-hump discrete map, Commun. Nonlinear Sci. Numer. Simul.79 (2019), p. 104900.
   Google Scholar
• Y. Tian, K. Sun, and L. Chen, Modelling and qualitative analysis of a predator–prey system with state-dependent impulsive effects, Math. Comput. Simul. 82 (2011), pp. 318–331.
   Google Scholar
• Y. Tian, S. Tang, and R.A. Cheke, Nonlinear state-dependent feedback control of a pest-natural enemy system, Nonlinear Dyn. 94 (2018), pp. 2243–2263.
   Google Scholar
• M. Wildie and M. Shanahan, Metastability and chimera states in modular delay and pulse-coupled oscillator networks, Chaos 22 (2012), p. 043131.
   Google Scholar
• M. Yi and C. Yao, A chimera oscillatory state in a globally delay-coupled oscillator network, Complexity 2020 (2020), pp. 1–11.
   Google Scholar
• B. Yuan, S. Tang, and R.A. Cheke, Duality in phase space and complex dynamics of an integrated pest management network model, Int. J. Bifurc. Chaos 25 (2015), p. 1550103.
   Google Scholar
• F. Zahra, A. Zahra, P. Fatemeh, J. Sajad, P. Matjaz, and S. Mitja, Effects of different initial conditions on the emergence of chimera states, Chaos Solitons Fractals. 114 (2018), pp. 306–311.
   Google Scholar
• T. Zhang, W. Ma, X. Meng, and T. Zhang, Periodic solution of a prey–predator model with nonlinear state feedback control, Appl. Math. Comput. 266 (2015), pp. 95–107.
   Web of Science ®Google Scholar