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Nonlinear Analysis, 2020
The following Kolmogorov system of impulsive differential equations with variable impulsive perturbations is considered: \begin{align*} \dot{u}_i(t) &= u_i(t)f_i(t, u(t)),\;\; t\not= \tau_k(u(t)),\\ \Delta u_i(t) &= I_{ik}(u_i(t)),\;\; t= \tau_k(u(t)), \end{align*} where \(f_i: [t_0, \infty)\times\mathbb{R}^N_+\to\mathbb{R}\), \(I_{ik}: \mathbb{R}_+\to\
Ivanka M. Stamova, Gani Tr. Stamov
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The following Kolmogorov system of impulsive differential equations with variable impulsive perturbations is considered: \begin{align*} \dot{u}_i(t) &= u_i(t)f_i(t, u(t)),\;\; t\not= \tau_k(u(t)),\\ \Delta u_i(t) &= I_{ik}(u_i(t)),\;\; t= \tau_k(u(t)), \end{align*} where \(f_i: [t_0, \infty)\times\mathbb{R}^N_+\to\mathbb{R}\), \(I_{ik}: \mathbb{R}_+\to\
Ivanka M. Stamova, Gani Tr. Stamov
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1997
This paper deals with impulsive differential-difference equations for which the impulses are realized at moments when the integral curve of the initial value problem considered meets fixed curves in the extended phase space of the equation. The corresponding impulsive differential-difference inequalities are considered.
Drumi Bainov +2 more
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This paper deals with impulsive differential-difference equations for which the impulses are realized at moments when the integral curve of the initial value problem considered meets fixed curves in the extended phase space of the equation. The corresponding impulsive differential-difference inequalities are considered.
Drumi Bainov +2 more
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Applied Mathematics and Computation, 2014
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Yang, Chang-Bo, Huang, Ting-Zhu
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Yang, Chang-Bo, Huang, Ting-Zhu
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Journal of Mathematical Chemistry, 2006
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Sun, Shulin, Chen, Lansun
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Sun, Shulin, Chen, Lansun
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International Journal of Biomathematics, 2008
In this work, we consider a delayed stage-structured variable coefficients predator-prey system with impulsive perturbations on predators. By using the discrete dynamical system determined by stroboscopic map and the standard comparison theorem, we obtain the sufficient conditions which guarantee the global attractivity of prey-extinction periodic ...
Jiao, Jianjun, Chen, Lansun
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In this work, we consider a delayed stage-structured variable coefficients predator-prey system with impulsive perturbations on predators. By using the discrete dynamical system determined by stroboscopic map and the standard comparison theorem, we obtain the sufficient conditions which guarantee the global attractivity of prey-extinction periodic ...
Jiao, Jianjun, Chen, Lansun
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Applied Mathematics and Computation
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Wu-Hua Chen, Hao Sun, Xiaomei Lu
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Wu-Hua Chen, Hao Sun, Xiaomei Lu
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Stability of Perturbing Differential System with Impulse at Variable Times
Acta Analysis Functionalis Applicata, 2010openaire +1 more source