Dynamics analysis of delayed Nicholson-type systems involving patch structure and asymptotically almost periodic environments

References

• Cao, Q., & Wang, G. (2020). Dynamic analysis on a delayed nonlinear density-dependent mortality Nicholson’s blowflies model. International Journal of Control, 2020(1), 1-14. https://doi.org/10.1080/00207179.2020.1725134
   Google Scholar
• Cao, Q., Wang, G., & Qian, C. (2020). New results on global exponential stability for a periodic Nicholson’s blowflies model involving time-varying delays. Advances in Difference Equations, 2020(1), 43. https://doi.org/10.1186/s13662-020-2495-4
   Web of Science ®Google Scholar
• Cao, Q., Wang, G., Zhang, H., & Gong, S. (2020). New results on global asymptotic stability for a nonlinear density-dependent mortality Nicholson’s blowflies model with multiple pairs of time-varying delays. Journal of Inequalities and Applications, (2020, (1). https://doi.org/10.1186/s13660-019-2277-2
   Web of Science ®Google Scholar
• Chen, T., Huang, L., Yu, P., & Huang, W. (2018). Bifurcation of limit cycles at infinity in piecewise polynomial systems. Nonlinear Analysis. Real World Applications, 41:82–106. 2017.October.03. https://doi.org/10.1016/j.nonrwa.2017.10.003
   Web of Science ®Google Scholar
• Ding, H., & Fu, S. (2020). Periodicity on Nicholson’s blowflies systems involving patch structure and mortality terms. Journal of Experimental and Theoretical Artificial Intelligence, 32(3), 359–371. https://doi.org/10.1080/0952813X.2019.1647567
   Web of Science ®Google Scholar
• Duan, L., Fang, X., & Huang, C. (2018). Global exponential convergence in a delayed almost periodic nicholson’s blowflies model with discontinuous harvesting. Mathematical Methods in the Applied Sciences, 41(5), 1954–1965. https://doi.org/10.1002/mma.4722
   Web of Science ®Google Scholar
• Fink, A. M. (1974). Almost periodic differential equations, lecture notes in mathematics. Springer.
   Google Scholar
• Gao, X., Liu, F., Li, H., Liu, Y., Turner, L., & Yin, B. (2020). A novel finite element method for the distributed-order time fractional cable equation in two dimensions. Computers & Mathematics with Applications, 80(5), 923–939. https://doi.org/10.1016/j.camwa.2020.04.019
   Web of Science ®Google Scholar
• Ghobaei-Arani, M., Rahmanian, A. A., Aslanpour, M. S., & Dashti, S. E. (2018). CSA-WSC: Cuckoo search algorithm for web service composition in cloud environments. Soft Computing, 22(24), 8353–8378. https://doi.org/10.1007/s00500-017-2783-4
   Web of Science ®Google Scholar
• Ghobaei-Arani, M., Rahmanian, A. A., Souri, A., & Rahmani, A. M. (2018). A moth-flame optimization algorithm for web service composition in cloud computing: Simulation and verification. Software: Practice & Experience, 48(10), 1865–1892. https://doi.org/10.1002/spe.2598
   Web of Science ®Google Scholar
• Ghobaei-Arani, M., Shamsi, M., & Rahmanian, A. A. (2017). An efficient approach for improving virtual machine placement in cloud computing environment. Journal of Experimental and Theoretical Artificial Intelligence, 29(6), 1149–1171. https://doi.org/10.1080/0952813X.2017.1310308
   Web of Science ®Google Scholar
• Ghobaei-Arani, M., & Souri, A. (2019). LP-WSC: A linear programming approach for web service composition in geographically distributed cloud environments. The Journal of Supercomputing, 75(5), 2603–2628. https://doi.org/10.1007/s11227-018-2656-3
   Web of Science ®Google Scholar
• Hale, J. K., & Verduyn Lunel, S. M. (1993). Introduction to functional differential equations. Springer-Verlag.
   Google Scholar
• Hu, H., Yi, T., & Zou, X. (2020). On spatial-temporal dynamics of a Fisher–KPP equation with a shifting environment. Proceedings of the American Mathematical Society, 148(1), 213–221. https://doi.org/10.1090/poc/14659
   Web of Science ®Google Scholar
• Hu, H., Yuan, X., Huang, L., & Huang, C. (2019). Global dynamics of an SIRS model with demographics and transfer from infectious to susceptible on heterogeneous networks. Mathematical Biosciences and Engineering, 16(5), 5729–5749. https://doi.org/10.3934/mbe.2019286
   PubMed Web of Science ®Google Scholar
• Hu, H., & Zou, X. (2017). Existence of an extinction wave in the fisher equation with a shifting habitat. Proceedings of the American Mathematical Society, 145(11), 4763–4771. https://doi.org/10.1090/proc/13687
   Web of Science ®Google Scholar
• Huang, C., Long, X., & Cao, J. (2020a). Stability of antiperiodic recurrent neural networks with multi-proportional delays. Mathematical Methods in the Applied Sciences, 43(9), 6093–6102. https://doi.org/10.1002/mma.6350
   Google Scholar
• Huang, C., Long, X., Huang, L., & Fu, S. (2019). Stability of almost periodic Nicholson’s blowflies model involving patch structure and mortality terms. Canadian Mathematical Bulletin, 63(2), 405–422. https://doi.org/10.4153/S0008439519000511
   Web of Science ®Google Scholar
• Huang, C., Qiao, Y., Huang, L., & Agarwal, R. P. (2018). Dynamical behaviors of a food-chain model with stage structure and time delays. Advances in Difference Equations, 2018(1). https://doi.org/10.1186/s13662-018-1589-8
   Google Scholar
• Huang, C., Su, R., & Hu, Y. (2020). Global convergence dynamics of almost periodic delay Nicholson’s blowflies systems. Journal of Biological Dynamics, 14(1), 633–655. https://doi.org/10.1080/17513758.2020.18-00841
   PubMed Web of Science ®Google Scholar
• Huang, C., & Tan, Y. (2021). Global behavior of a reaction-diffusion model with time delay and Dirichlet condition. Journal of Differential Equations, 271, 186–215. https://doi.org/10.1016/j.jde.2020.08.008
   Web of Science ®Google Scholar
• Huang, C., Wang, J., & Huang, L. (2020). Asymptotically almost periodicity of delayed Nicholson-type system involving patch structure. Electronic Journal of Differential Equations, (2020(61), 1–17. http://ejde.math.txstate.edu 
   Google Scholar
• Huang, C., Wen, S., & Huang, L. (2019). Dynamics of anti-periodic solutions on shunting inhibitory cellular neural networks with multi-proportional delays. Neurocomputing, 357(10), 47–52. https://doi.org/10.1016/j.neucom.2019.05.022
   Web of Science ®Google Scholar
• Huang, C., Yang, H., & Cao, J. (2020). Weighted pseudo almost periodicity of multi-proportional delayed shunting inhibitory cellular neural networks with D operator. Discrete and Continuous Dynamical Systems Series S. https://doi.org/10.3934/dcdss.2020372
   Google Scholar
• Huang, C., Yang, L., & Cao, J. (2020). Asymptotic behavior for a class of population dynamics. AIMS Mathematics, 5(4), 3378–3390. https://doi.org/10.3934/math.2020218
   Web of Science ®Google Scholar
• Huang, C., Yang, L., & Liu, B. (2019). New results on periodicity of non-autonomous inertial neural networks Involving non-reduced order method. Neural Processing Letters, 50(1), 595–606. https://doi.org/10.1007/s11063-019-10055-3
   Web of Science ®Google Scholar
• Huang, C., Yang, X., & Cao, J. (2020b). Stability analysis of Nicholson’s blowflies equation with two different delays. Mathematics and Computers in Simulation, 171, 201–206. https://doi.org/10.1016/j.matcom.2019.09.023
   Web of Science ®Google Scholar
• Huang, C., Yang, Z., Yi, T., & Zou, X. (2014). On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities. Journal of Differential Equations, 256(7), 2101–2114. https://doi.org/10.1016/j.jde.2013.12.015
   Web of Science ®Google Scholar
• Huang, C., & Zhang, H. (2019). Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method. International Journal of Biomathematics, 12(2), 1950016. https://doi.org/10.1142/S1793524519500165
   Web of Science ®Google Scholar
• Huang, C., Zhang, H., Cao, J., & Hu, H. (2019). Stability and Hopf bifurcation of a delayed prey-predator model with disease in the predator. International Journal of Bifurcation and Chaos, 29(7), 1950091. https://doi.org/10.1142/s0218127419500913
   Web of Science ®Google Scholar
• Huang, C., Zhang, H., & Huang, L. (2019). Almost periodicity analysis for a delayed nicholson’s blowflies model with nonlinear density-dependent mortality term. Communications on Pure and Applied Analysis, 18(6), 3337–3349. https://doi.org/10.3934/cpaa.2019150
   Web of Science ®Google Scholar
• Huang, C., Zhao, X., Cao, J., & Alsaadi, F. E. (2020). Global dynamics of neoclassical growth model with multiple pairs of variable delays. Nonlinearity, 33(12), 6819–6834. https://doi.org/10.1088/1361-6544/abab4e
   Web of Science ®Google Scholar
• Huang, L., Ma, H., Wang, J., & Huang, C. (2020). Global dynamics of a Filippov plant disease model with an economic threshold of infected-susceptible ratio. Journal of Applied Analysis and Computation, 10(5), 2263–2277. https://doi.org/10.11948/20190409
   Web of Science ®Google Scholar
• Li, J., Guo, B., Zeng, L., & Pei, Y. (2020). Global weak solution and smooth solution of the periodic initial value problem for the generalized Landau-Lifshitz-Bloch equation in high dimensions. Discrete & Continuous Dynamical Systems-B, 25(4), 1345–1360. https://doi.org/10.3934/dcdsb.2019230
   Google Scholar
• Li, W., Huang, L., & Ji, J. (2019). Periodic solution and its stability of a delayed Beddington–DeAngelis type predator-prey system with discontinuous control strategy. Mathematical Methods in the Applied Sciences, 42(13), 4498–4515. https://doi.org/10.1002/mma.5673
   Web of Science ®Google Scholar
• Li, Y., & Li, B. (2016). Existence and exponential stability of positive almost periodic solution for Nicholson’s blowflies models on time scales. SpringerPlus, 5(1), 1096. https://doi.org/10.1186/s40064-016-2700-9
   PubMedGoogle Scholar
• Li, Z., Xia, Z., & Wang, D. (2019). Pseudo almost periodic dynamics of Nicholson’s blowflies model with patch structure and discontinuous harvesting. Japan Journal of Industrial and Applied Mathematics, 36(3), 835–859. https://doi.org/10.1007/s13160-019-00368-0
   Web of Science ®Google Scholar
• Liu, B. (2015). New results on global exponential stability of almost periodic solutions for a delayed Nicholson’s blowflies model. Annales Polonici Mathematici, 113(2), 191–208. https://doi.org/10.4064/ap113-2-6
   Web of Science ®Google Scholar
• Liu, Y., Wu, J., & Wang, X. (2020). Collective periodic motions in a multiparticle model involving processing delay. Mathematical Methods in the Applied Sciences, 44(5), 3280–3302. https://doi.org/10.1002/mma.6939
   Google Scholar
• Long, X. (2020). Novel stability criteria on a patch structure nicholson’s blowflies model with multiple pairs of time-varying delays. AIMS Mathematics, 5(6), 7387–7401. https://doi.org/10.3934/math.2020473
   Web of Science ®Google Scholar
• Long, X., & Gong, S. (2020). New results on stability of Nicholson’s blowflies equation with multiple pairs of time-varying delays. Applied Mathematics Letters, 100, 106027. https://doi.org/10.1016/j.aml.2019.106027
   Web of Science ®Google Scholar
• Obaya, R., & Sanz, A. M. (2018). Is uniform persistence a robust property in almost periodic models? A well-behaved family: Almost periodic Nicholson systems. Nonlinearity, 31(2), 388–413. https://doi.org/10.1088/1361-6544/aa92e7
   Web of Science ®Google Scholar
• Qian, C. (2020). New periodic stability for a class of Nicholson’s blowflies models with multiple different delays. International Journal of Control, 2020(1), 1–13. https://doi.org/10.1080/00207179.2020.1766118
   Google Scholar
• Qian, C., & Hu, Y. (2020). Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments. Journal of Inequalities and Applications, (2020(1), 1–18. https://doi.org/10.1186/s13660-019-2275-4
   Web of Science ®Google Scholar
• Smith, H. L. (1995). Monotone dynamical systems, mathematical surveys and monographs. American Mathematical Society.
   Google Scholar
• Smith, H. L. (2011). An introduction to delay differential equations with applications to the life sciences. Springer New York.
   Google Scholar
• Tan, Y., Huang, C., Sun, B., & Wang, T. (2018). Dynamics of a class of delayed reaction-diffusion systems with Neumann boundary condition. Journal of Mathematical Analysis and Applications, 458(2), 1115–1130. https://doi.org/10.1016/j.jmaa.2017.09.045
   Web of Science ®Google Scholar
• Wang, J., Chen, X., & Huang, L. (2019). The number and stability of limit cycles for planar piecewise linear systems of node-saddle type. Journal of Mathematical Analysis and Applications, 469(1), 405–427. https://doi.org/10.1016/j.jmaa.2018.09.024
   Web of Science ®Google Scholar
• Wang, J., He, S., & Huang, L. (2020). Limit cycles induced by threshold nonlinearity in planar piecewise linear systems of node-focus or node-center type. International Journal of Bifurcation and Chaos, 30(11), 11. https://doi.org/10.1142/S0218127420501606
   Web of Science ®Google Scholar
• Wang, J., Huang, C., & Huang, L. (2019). Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle-focus type. Nonlinear Analysis: Hybrid Systems, 33, 162–178. https://doi.org/10.1016/j.nahs.2019.03.004
   Web of Science ®Google Scholar
• Wang, W., & Chen, W. (2020). Stochastic Nicholson-type delay system with regime switching. Systems & Control Letters, 136, 104603. https://doi.org/10.1016/j.sysconle.2019.104603
   Web of Science ®Google Scholar
• Wang, W., Deng, G., & Chen, W. (2020). Markov switched stochastic Nicholson-type delay system with patch structure. Advances in Difference Equations, (2020(1), 258. https://doi.org/10.1186/s13662-020-02721-x
   Web of Science ®Google Scholar
• Wang, W., Liu, F., & Chen, W. (2019). Exponential stability of pseudo almost periodic delayed Nicholson-type system with patch structure. Mathematical Methods in the Applied Sciences, 42(2), 592–604. https://doi.org/10.1002/mma.5364
   Web of Science ®Google Scholar
• Wang, W., Shi, C., & Chen, W. (2019). Stochastic Nicholson-type delay differential system. International Journal of Control, 1–14. https://doi.org/10.1080/00207179.2019.1651941
   Google Scholar
• Wu, K., & Jian, J. (2021). Non-reduced order strategies for global dissipativity of memristive neutral-type inertial neural networks with mixed time-varying delays. Neurocomputing, 436, 174–183. https://doi.org/10.1016/j.neucom.2020.12.120
   Google Scholar
• Xiang, L., Yang, S., Liu, Y., Li, Q., & Zhu, C. (2020). Novel linguistic steganography based on character-level text generation. Mathematics, 8(9), 9. https://doi.org/10.3390/math8091558
   Web of Science ®Google Scholar
• Xiong, W. (2016). New results on positive pseudo-almost periodic solutions for a delayed Nicholson’s blowflies model. Nonlinear Dynamics, 85(1), 563–571. https://doi.org/10.1007/s11071-016-2706-4
   Web of Science ®Google Scholar
• Xu, Y., Cao, Q., & Guo, X. (2020). Stability on a patch structure Nicholson’s blowflies system involving distinctive delays. Applied Mathematics Letters, 105, 106340. https://doi.org/10.1016/j.aml.2020.106340
   Web of Science ®Google Scholar
• Yan, L., Wen, Y., Teo, K. L., Liu, J., & Xu, F. (2020). Construction of regional logistics weighted network model and its robust optimization: Evidence from china. Complexity, 2020, 1–9. https://doi.org/10.1155/2020/2109423
   Google Scholar
• Yi, X., & Liu, G. (2020). Analysis of stochastic Nicholson-type delay system under Markovian switching on patches. Complexity, (2020, 9078471. https://doi.org/10.1155/2020/9078471
   Web of Science ®Google Scholar
• Yu, F., Qian, S., Chen, X., Huang, Y., Liu, L., Shi, C., Cai, S., Song, Y., & Wang, C. (2020). A new 4D four-wing memristive hyperchaotic system: Dynamical analysis, electronic circuit design, shape synchronization and secure communication. International Journal of Bifurcation and Chaos, 30(10), 10. https://doi.org/10.1142/S0218127420501473
   Web of Science ®Google Scholar
• Yue, J., Miao, Z., He, Y., & Du, N. (2020). Loss architecture search for few-shot object recognition. Complexity, (2020. https://doi.org/10.1155/2020/1041962
   Google Scholar
• Zhang, C. (2003). Almost periodic type functions and ergodicity. Kluwer Academic/Science Press.
   Google Scholar
• Zhang, H. (2019). Global large smooth solutions for 3-D Hall-magnetohydrodynamics. Discrete and Continuous Dynamical Systems, 39(11), 6669–6682. https://doi.org/10.3934/dcds.2019290
   Web of Science ®Google Scholar
• Zhang, H., Cao, Q., & Yang, H. (2020). Asymptotically almost periodic dynamics on delayed Nicholson-type system involving patch structure. Journal of Inequalities and Applications, 2020(1),102. https://doi.org/10.1186/s13660-020-02366-0
   Google Scholar
• Zhang, J., & Huang, C. (2020). Dynamics analysis on a class of delayed neural networks involving inertial terms. Advances in Difference Equations, 2020(1). https://doi.org/10.1186/s13662-020-02566-4
   Google Scholar
• Zhang, X., & Hu, H. (2020). Convergence in a system of critical neutral functional differential equations. Applied Mathematics Letters, 107, 106385. https://doi.org/10.1016/j.aml.2020.106385
   Web of Science ®Google Scholar
• Zhang, Z., Liu, Z., Deng, Y., Li, L., He, F., & Huang, C. (2020). A trilinear estimate with application to the perturbed nonlinear Schrodinger equations with the Kerr law nonlinearity. Journal of Evolution Equations, 1–18. https://doi.org/10.1007/s00028-020-00631-9
   Google Scholar
• Zhao, J., Liu, J., & Fang, L. (2014). Anti-periodic boundary value problems of second-order functional differential equations. The Bulletin of the Malaysian Mathematical Society, 37(2), 311–320
   Web of Science ®Google Scholar