Dynamics for a hybrid non-autonomous prey-predator system with generalist predator and impulsive conditions on time scales

被引:2
|
作者
Kumar, Anil [1 ]
Malik, Muslim [1 ]
Kang, Yun [2 ]
机构
[1] Indian Inst Technol Mandi, Sch Basic Sci, Kamand, Himachal Prades, India
[2] Arizona State Univ, Sci & Math Fac, Mesa, AZ 85212 USA
关键词
Hybrid non-autonomous prey-predator system; Lyapunov functional; impulsive effect; time scales; PERIODIC-SOLUTIONS; NATURAL ENEMIES; MODEL; PERMANENCE; SPECIALIST; STABILITY; PERSISTENCE; EXTINCTION; EXISTENCE; DELAYS;
D O I
10.1142/S179352452250067X
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we investigate the dynamical behavior for a hybrid non-autonomous predator-prey system with Holling Type II functional response, impulsive effects and generalist predator on time scales, where our proposed model commutes between a continuous-time dynamical system and discrete-time dynamical system. By using comparison theorems, we first study the permanence results of the proposed model. Also, we established the uniformly asymptotic stability for the almost periodic solution of the proposed model. Finally, in the last section, we provide some examples with numerical simulation.
引用
收藏
页数:26
相关论文
共 50 条
  • [31] Global dynamics and controllability of a harvested prey-predator system
    Srinivasu, PDN
    Ismail, S
    JOURNAL OF BIOLOGICAL SYSTEMS, 2001, 9 (01) : 67 - 79
  • [32] Discrete-time bifurcation behavior of a prey-predator system with generalized predator
    Singh, Harkaran
    Dhar, Joydip
    Bhatti, Harbax Singh
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 15
  • [33] Dynamics of a stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response
    Shuang Li
    Xinan Zhang
    Advances in Difference Equations, 2013
  • [34] Impact of stochastic perturbation on the persistence and extinction risk of a multi-delayed prey-predator system in non-autonomous environment
    Devi, N. S. N. V. K. Vyshnavi
    Jana, Debaldev
    MODELING EARTH SYSTEMS AND ENVIRONMENT, 2021, 7 (02) : 1241 - 1267
  • [35] Dynamics of a stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response
    Li, Shuang
    Zhang, Xinan
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [36] The dynamical complexity of an impulsive Watt-type prey-predator system
    Wang, Xiaoqin
    Wang, Weiming
    Lin, Yezhi
    Lin, Xiaolin
    CHAOS SOLITONS & FRACTALS, 2009, 40 (02) : 731 - 744
  • [37] Periodic Effect in a Prey-Predator System with Sexual Favoritism under Impulsive
    Li, Feng
    Jin, Yinlai
    Li, Hongwei
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 125 - 128
  • [38] Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey
    Zhu, Honglan
    Zhang, Xuebing
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
  • [39] The Control for Prey-Predator System with Time Delay and Refuge
    Kant, Shashi
    Kumar, Vivek
    MATHEMATICS AND COMPUTING, 2015, 139 : 339 - 348
  • [40] Controllability of a harvested prey-predator system with time delay
    Kar, TK
    Matsuda, H
    JOURNAL OF BIOLOGICAL SYSTEMS, 2006, 14 (02) : 243 - 254