periodic solution
periodic solution的相关文献在2000年到2022年内共计41篇,主要集中在数学、无线电电子学、电信技术
等领域,其中期刊论文41篇、相关期刊13种,包括中国高等学校学术文摘·数学、微分方程年刊:英文版、电子科技学刊等;
periodic solution的相关文献由76位作者贡献,包括Jaume Llibre、丁孝全、史少云等。
periodic solution
-研究学者
- Jaume Llibre
- 丁孝全
- 史少云
- 翟延慧
- Amar Makhlouf
- Anna Cima
- Binbin Wang
- Chaofeng Zhang
- Chun LU
- Chunhua Feng
- Feng Rao
- Fuwei Zhang
- Hailiang Zhang
- Jihua Yang
- LIU Bing-wen
- Limin Zhang
- Linfei Nie
- Ni Hua
- Ningzhe Liu
- SUN Shi-xin
- TIAN De-sheng
- Xiao Hong LI
- Xiu Feng DU
- Yanqiu Li
- ZHU Pei-yong
- Zeyneb Bouderbala
- 伍卓群
- 关美娇
- 刘伟安
- 刘德钦
- 向红军
- 吕显瑞
- 周正新
- 夏铁成
- 孙杰宝
- 宋新宇
- 尹景学
- 尹群
- 左文杰
- 张寄洲
- 张正球
- 张鸿庆
- 徐瑞
- 徐贵桐
- 李佩春
- 李晓光
- 李永昆
- 李用声
- 李继彬
- 杜波
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Ningzhe Liu
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摘要:
A multi-state dependent model is proposed for integrated pest management, which adopts different control methods at different thresholds. The sufficient conditions for the existence of order one periodic solution to the system are obtained by using differential equation geometry theory and successor function. Furthermore, we have discussed the existence of order-k (k ≥ 2) periodic solution by using series convergence. Besides we have proved the order one periodic solution is orbitally asymptotically stable under certain conditions with analogue of the Poincare criterion. Finally, numerical simulations are given to show the feasibility of our main results. Especially, the proved process of the existence of order one periodic solution shows that our method used in this paper is easier than the existing methods.
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石磊;
齐龙兴;
翟素兰
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摘要:
This paper studies a kind of non-autonomous respiratory disease model with a lag effect.First of all,the permanence and extinction of the system are discussed by using the comparison principle and some differential inequality techniques.Second,it assumes that all coefficients of the system are periodic.The existence of positive periodic solutions of the system is proven,based on the continuation theorem in coincidence with the degree theory of Mawhin and Gaines.In the meantime,the global attractivity of positive periodic solutions of the system is obtained by constructing an appropriate Lyapunov functional and using the Razumikin theorem.In addition,the existence and uniform asymptotic stability of almost periodic solutions of the system are analyzed by assuming that all parameters in the model are almost periodic in time.Finally,the theoretical derivation is verified by a numerical simulation.
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Chunhua Feng
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摘要:
For a tridiagonal two-layer real six-neuron model,the Hopf bifurcation was investigated by studying the eigenvalue equations of the related linear system in the literature.In the present paper,we extend this two-layer real six-neuron network model into a complex-valued delayed network model.Based on the mathematical analysis method,some sufficient conditions to guarantee the existence of periodic oscillatory solutions are established under the assumption that the activation function can be separated into its real and imaginary parts.Our sufficient conditions obtained by the mathematical analysis method in this paper are simpler than those obtained by the Hopf bifurcation method.Computer simulation is provided to illustrate the correctness of the theoretical results.
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Ni Hua
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摘要:
This paper deals with a class of n-degree polynomial differential equations. By the fixed point theorem and mathematical analysis techniques, the existence of one (n is an odd number) or two (n is an even number) periodic solutions of the equation is obtained. These conclusions have certain application value for judging the existence of periodic solutions of polynomial differential equations with only one higher-order term.
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Binbin Wang;
Hailiang Zhang
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摘要:
Based on the classic Lotlk-Volterra cooperation model, we establish a time-delay model of which a species cannot survive independently. By continuation theorem, we discuss existence of positive periodic solutions of the model.
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Limin Zhang;
Chaofeng Zhang
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摘要:
This study considers a delayed biological system of predator-prey interactions where the predator has stage-structured preference. It is assumed that the prey population has two stages: immature and mature. The predator population has different preference for the stage-structured prey. This type of behavior has been reported in Asecodes hispinarum and Microplitis mediator. By some lemmas and methods of delay differential equation, the conditions for the permanence, existence of positive periodic solution and extinction of the system are obtained. Numerical simulations are presented that illustrate the analytical results as well as demonstrate certain biological phenomena. In particular, overcrowding of the predator does not affect the persistence of the system, but our numerical simulations suggest that overcrowding reduces the density of the predator. Under the assumption that immature prey is easier to capture, our simulations suggest that the predator’s preference for immature prey increases the predator density.
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Yanqiu Li;
Jihua Yang;
Feng Rao
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摘要:
The dynamics of a unidirectional nonlinear delayed-coupling chaos system is investigated. Based on the local Hopf bifurcation at the zero equilibrium, we prove the global existence of periodic solutions using a global Hopf bifurcation result due to Wu and a Bendixson’s criterion for higher dimensional ordinary differential equations due to Li & Muldowney.
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Fuwei Zhang;
Linfei Nie
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摘要:
Based on the mechanism of prevention and control of infectious disease, we propose, in this paper, an SIRS epidemic model with varying total population size and state-dependent control, where the fraction of susceptible individuals in population is as the detection threshold value. By the Poincaré map, theory of differential inequalities and differential equation geometry, the existence and orbital stability of the disease-free periodic solution are discussed. Theoretical results show that by state-dependent pulse vaccination we can make the proportion of infected individuals tend to zero, and control the transmission of disease in population.
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陈红兵
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摘要:
In this paper, a predator-prey model of three species is investigated, the necessary and sufficient of the stable equilibrium point for this model is studied. Further, by introducing a delay as a bifurcation parameter, it is found that Hopf bifurcation occurs when τ cross some critical values. And, the stability and direction of hopf bifurcation are determined by applying the normal form theory and center manifold theory. numerical simulation results are given to support the theoretical predictions. At last, the periodic solution of this system is computed.