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Existence and Stability of Pseudo Almost Periodic Solutions for a Delayed Multispecies Logarithmic Population Model with Feedback Control

  • Wu, Yi [1] ; Xia, Yonghui [2] ; Deng, Shengfu [1]
    1. [1] Huaqiao University

      Huaqiao University

      China

    2. [2] Zhejiang Normal University

      Zhejiang Normal University

      China

  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 1, 2021
  • Idioma: inglés
  • DOI: 10.1007/s12346-020-00445-7
  • Enlaces
  • Resumen

    • This paper studies a delayed multispecies Logarithmic population model with feedback control. By using Krasnoselskii’s fixed point theorem and constructing Lyapunov functions, we obtain some sufficient conditions which guarantee the existence and the exponential stability of the pseudo almost periodic solutions. Meanwhile, a numerical example is also given to illustrate the feasibility of the obtained results.

  • Referencias bibliográficas
    • 1. Alvarez, E.: Composition and convolution theorems for μ-Stepanov pseudo almost periodic functions and applications to fractional integro-differential...
    • 2. Alzabut, J.O., Stamov, G.T., Sermutlu, E.: On almost periodic solutions for an impulsive delay Logarithmic population model. Math. Comput....
    • 3. Alzabut, J.O., Stamov, G.T., Sermutlu, E.: Positive almost periodic solutions for a delay Logarithmic population model. Math. Comput. Model....
    • 4. Antonets, M.A., Shereshevskii, I.A.: Weyl quantization on compact Abelian groups and the quantum mechanics of almost periodic systems....
    • 5. Aouiti, C., Dridi, F., Kong, F.: Pseudo almost automorphic solutions of hematopoiesis model with mixed delays. Comput. Appl. Math. 39,...
    • 6. Barchielli, A., Belavkin, V.P.: Measurements continuous in time and a posteriori states in quantum mechanics. J. Phys. A 24, 1495–1514...
    • 7. Burton, T.A.: A fixed-point theorem of Krasnoselskii. Appl. Math. Lett. 11, 85–88 (1998)
    • 8. Chen, F.: Periodic solutions and almost periodic solutions for a delay multispecies Logarithmic population model. Appl. Math. Comput. 171,...
    • 9. Chen, X., Chen, F.: Almost-periodic solutions of a delay population equation with feedback control. Nonlinear Anal. Real World Appl. 7,...
    • 10. Chen, F., Chen, X., Cao, J., Chen, A.: Positive periodic solutions of a class of non-autonomous single species population model with delays...
    • 11. Chen, C., Li, P., Jia, Z.: Cascade control of automatic generation control time-delay system considering saturation. Autom. Electr. Power...
    • 12. Chen, S., Wang, T., Zhang, J.: Positive periodic solution for non-autonomous competition Lotka– Volterra patch system with time delay....
    • 13. Chen, F., Xie, X., Shi, J.: Existence, uniqueness and stability of positive periodic solution for a nonlinear prey-competition model with...
    • 14. Chen, S., Zhang, J., Young, T.: Existence of positive periodic solution for nonautonomous predator-prey system with diffusion and time...
    • 15. Coppel, W.A.: Dichotomies in Stability Theory. Springer, New York (1978)
    • 16. Diagana, T.: Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces. Springer, New York (2013)
    • 17. Ding, X., Wang, Y.: Positive periodic solution for a Gause-type ratio-dependent predator-prey system with diffusion and time delay. Int....
    • 18. Eberlein, W.F.: Abstract ergodic theorems and weak almost periodic functions. Trans. Am. Math. Soc. 67, 217–240 (1949)
    • 19. Ezzinbi, K., Zabsonre, I.: Pseudo almost periodic solutions of infinite class for some functional differential equations. Appl. Anal....
    • 20. Farassat, F.: Discontinuities in aerodynamics and aeroacoustics: the concept and applications of generalized derivatives. J. Sound Vib....
    • 21. Faria, T., Muroya, Y.: Global attractivity and extinction for Lotka–Volterra systems with infinite delay and feedback controls. Proc....
    • 22. Kong, F., Nieto, J.J.: Almost periodic dynamical behaviors of the hematopoiesis model with mixed discontinuous harvesting terms. Discrete...
    • 23. Gopalsamy, K.: Stability and Oscillations in Delay Differential Equations of Population Dynamics. Kluwer Academic Publishers, Dordrecht...
    • 24. Haartsen, M.W., Pride, S.R.: Electroseismic waves from point sources in layered media. J. Geophys. Res. 102, 24745–24769 (1997)
    • 25. Kirlinger, G.: Permanence in Lotka–Volterra equations: linked prey-predator systems. Math. Biosci. 82, 165–191 (1986)
    • 26. Liu, Z.J.: Positive periodic solutions for delay multispecies Logarithmic population model. Chin. J. Eng. Math. 4, 11–16 (2002)
    • 27. Liu, G., Yan, J.: Positive periodic solutions for a neutral differential system with feedback control. Comput. Math. Appl. 52, 401–410...
    • 28. Lu, S.P., Ge, W.G.: Existence of positive periodic solutions for neutral Logarithmic population model with multiple delays. J. Comput....
    • 29. Luo, Z., Luo, L.: Existence and stability of positive periodic solutions for a neutral multispecies Logarithmic population model with...
    • 30. Pinto, M., Vidal, C.: Pseudo-almost-periodic solutions for delayed differential equations with integrable dichotomies and bi-almost-periodic...
    • 31. Qu, Z., Dawson, D.M.: Continuous state feedback control guaranteeing exponential stability for uncertain dynamical systems. In: 1991 Proceedings...
    • 32. Stallmann, C.F., Engelbrecht, A.P.: Gramophone noise detection and reconstruction using time delay artificial neural networks. IEEE Trans....
    • 33. Toka, D.: Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces. Springer, New York (2013)
    • 34. Wang, C., Shi, J.: Periodic solution for a delay multispecies Logarithmic population model with feedback control. Appl. Math. Comput....
    • 35. Wang, Q., Wang, Y., Dai, B.: Existence and uniqueness of positive periodic solutions for a neutral Logarithmic population model. Appl....
    • 36. Wang, R., Zhang, X.: Positive periodic solution for a neutral Logarithmic population model with feedback control. Appl. Math. Comput....
    • 37. Wang, Q., Zhang, H., Wang, Y.: Existence and stability of positive almost periodic solutions and periodic solutions for a Logarithmic...
    • 38. Xia, Y.: Almost periodic solution of a population model: via spectral radius of matrix. Bull. Malays. Math. Sci. Soc. 37, 249–259 (2014)
    • 39. Yan, Z., Jia, X.: Pseudo almost periodicity and its applications to impulsive nonautonomous partial functional stochastic evolution equations....
    • 40. Yan, J., Zhao, A., Nieto, J.J.: Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka–Volterra...
    • 41. Zhang, C.: Almost Periodic Type Functions and Ergodicity. Kluwer Academic Publishers, London (1992)
    • 42. Zhang, C.: Pseudo-almost-periodic solutions of some differential equations. J. Math. Anal. Appl. 181, 62–76 (1994)
    • 43. Zhang, C.: Pseudo almost periodic solutions of some differential equations II. J. Math. Anal. Appl. 192, 543–561 (1995)
    • 44. Zhang, Y., Wei, Y.: Variable structure control for a singular biological economic model with time delay and stage structure. Adv. Differ....
    • 45. Zhao, K.: Existence of positive periodic solutions for the impulsive Lotka–Volterra cooperative population model with time-delay and harvesting...
    • 46. Zhao, W.: New results of existence and stability of periodic solution for a delay multispecies Logarithmic population model. Nonlinear...
    • 47. Zhao, Y., Wang, L., Zhao, H.: Existence and exponential stability of almost periodic solutions for a neutral multi-species Logarithmic...
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