A Stage-structured Three-species Model with Intra-guild Predation and Disturbing Pulse

Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (1): 37-44.

A Stage-structured Three-species Model with Intra-guild Predation and Disturbing Pulse

1. College of Mathematics and Information Science, Xinyang Normal University2. School of Applied Sciences, Taiyuan University of Science and Technology

Received:2007-12-04 Online:2010-03-30 Published:2023-06-07
About author: SHI Xiang-yun(1979- ), female, native of Xinzheng, Henan, a lecturer of Xinyang Normal University, M.S.D., engages in biomathematics and ordinary differential equation.
Supported by:
Supported by the National Natural Science Foundation of China(10771179)；

Abstract

Abstract: This paper considers a stage-structured three species model with intra-guild predation and disturbing pulse. Sufficient conditions which guarantee the global attractivity of boundary periodic solution and permanence of the system are obtained. Our results show that the pulse and time delay bring great effect on the dynamical behaviors of the model.

Key words: stage-structured, intra-guild predation, impulsive, global attractivity, permanence

CLC Number:

O175

SHI Xiang-yun, CUI Xue-ying. A Stage-structured Three-species Model with Intra-guild Predation and Disturbing Pulse[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(1): 37-44.

[1]	GAO Jian-zhong, ZHANG Tai-lei. Analysis On an SEIRS Epidemic Model with Pulse Vaccination and Two Time Delays [J]. Chinese Quarterly Journal of Mathematics, 2019, 34(1): 75-87.
[2]	DU Yan-ke, WU Xiang-dong, XU Ru. A Stage-structured Predator-prey Model with Time Delay and Impulsive Effects [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(1): 45-54.
[3]	SHAO Yuan-fu, TANG Guo-qiang. Periodic Solutions and Global Attractivity of an Impulsive Host-macroparasite Model with Delays [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(2): 301-307.
[4]	. L^p_loc-solutions of Nonlinear Impulsive Volterra Integral Equation in Abstract Space [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 61-68.
[5]	ZHANG Xiu-quan, ZHAO Zhong. Differential Susceptibility SIR Epidemic Model with Time Delay and Pulse Vaccination [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(2): 228-235.
[6]	CHEN Xing-rong, PAN Li-jun. Oscillation Criteria for Second-order Half-linear Impulsive Differential Equations with Damping [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(4): 614-620.
[7]	LIU Yan-wei, LU Kai-zhang. Permanence and Periodic Solution of an Impulsive Delay Two-prey One-predator System with Variable Coefficients [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 267-273.
[8]	. Eigenvalue of a Class of Impulsive Differential Equation with BVPs [J]. Chinese Quarterly Journal of Mathematics, 2006, 21(3): 375-380.
[9]	ZHU Xian-yang, LI Yong-kun, LU Ling-hong. Oscillation Criteria for Impulsive Hyperbolic Equations of Neutral Type [J]. Chinese Quarterly Journal of Mathematics, 2006, 21(2): 176-184.
[10]	CAI Guo-lan, ZHANG Jian-ping, GE Wei-gao. The Existence of Solutions of Three-point Boundary Value Problems for Second Order Impulsive Differential Equation [J]. Chinese Quarterly Journal of Mathematics, 2005, 20(3): 247-257.

A Stage-structured Three-species Model with Intra-guild Predation and Disturbing Pulse

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 10

Recommended Articles

Metrics

Comments