一个食饵有病的捕食与被捕食模型分析

Abstract

Abstract:

A predatorprey model with disease in the prey was established and analysed. The existence of the equilibrium points and the boundedness of solution were studied. The sufficient condition of the local asymptotical stability of the boundary equilibrium was studied with the method of latent root, and furthermore, the global asymptotical stability of two boundary equilibrium points, and the local asymptotical stability of the positive equilibrium point were analyzed, with the sufficient condition of their stability obtained.

Key words: equilibrium, locally asymptotical stability, global asymptotical stability , 

CLC Number:

O175.13

ZHANG Yong-Po, MA Meng-Juan, HUANG Qiang-Dao. Analysis of PredatorPrey Model with Disease in the Prey[J].J4, 2011, 49(02): 191-194.

[1]	FENG Shanshan, ZHANG Yongxin. Modeling and Analysis of Cooperation between Double Prey Populations against Predator Population [J]. Journal of Jilin University Science Edition, 2025, 63(2): 417-0424.
[2]	XIAO Hong, LIU Xintong. Design of Associative Classifier Based on Hamming Distance and Quantum Search Algorithm [J]. Journal of Jilin University Science Edition, 2024, 62(6): 1426-1438.
[3]	GAO Caiwen, ZHANG Zhiqiang, LIU Baoliang. Uncertain Logistic Population Model with Allee Effect [J]. Journal of Jilin University Science Edition, 2023, 61(6): 1271-1278.
[4]	GUO Shuang, FAN Jianghua. Existence of Solutions for Quasiconvex Function Minimization Problems [J]. Journal of Jilin University Science Edition, 2022, 60(6): 1342-1348.
[5]	QIAN Rong, XIAO Min, WANG Lu. Stability Analysis of Fractional-Order SIR Epidemic Models with Different Orders [J]. Journal of Jilin University Science Edition, 2021, 59(4): 796-806.
[6]	ZHANG Chuanmei, MENG Xudong. Optimal Conditions for Lower Semicontionuity of Efficient Solutions to Parametric Set-Valued Vector Equilibrium Problem [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1142-1148.
[7]	LU Aiping, LI Jianping, LI Panchi, FAN Yougui. WaterFlooded Layer Identification Method Based onQuantum Selforganizing Network [J]. Journal of Jilin University Science Edition, 2020, 58(4): 944-952.
[8]	PAN Qing, ZHANG Xiaoru, LIU Han, YANG Fuquan, LIU Jiping, MENG Xiangdong, WU Xiangyao, GUO Yiqing. Transmission Characteristics of Photonic Crystals [J]. Journal of Jilin University Science Edition, 2020, 58(4): 969-976.
[9]	JIN Manli, GUO Li. Existence and Uniqueness of Weak Solutions fora Class of ForthOrder Low Curvature Equations [J]. Journal of Jilin University Science Edition, 2020, 58(4): 753-760.
[10]	WU Xianfeng, ZHAO Xiufang, DU Junhua, FU Junwei. Quasiderivation and Centroid of Multiplicative Hom-δ-Lie Supertriple Systems [J]. Journal of Jilin University Science Edition, 2020, 58(4): 825-831.
[11]	SONG Xianmei, LIU Wei, CHEN Falong. Z_pZ_ps［ξ］-Linear Skew Constacyclic Codes [J]. Journal of Jilin University Science Edition, 2020, 58(3): 527-534.
[12]	LI Jian, JIANG Nan, BAOYIN Bate, ZHANG Fan, ZHANG Weijian, WANG Wei. Spatial Color Clustering Algorithm and Its Applicationin Image Feature Extraction [J]. Journal of Jilin University Science Edition, 2020, 58(3): 627-633.
[13]	YANG Weiguang, CHEN Xiang’en. VertexDistinguishing ETotal Coloring of Complete Bipartite Graph K_9,n(9≤n≤92) [J]. Journal of Jilin University Science Edition, 2020, 58(2): 301-308.
[14]	WEN Changji, ZHAO Shanshan, SHEN Liwei, REN Hongbin. Sports Video Behavior Recognition Based on Local SpatioTemporal Pattern [J]. Journal of Jilin University Science Edition, 2020, 58(2): 379-387.
[15]	ZHANG Yao, CAI Hua, LI Xinda, MI Xiaohong, SUN Junxi. SpatioTemporal Context Face Tracking AlgorithmBased on Adaboost First Frame Detection [J]. Journal of Jilin University Science Edition, 2020, 58(2): 314-320.

Analysis of PredatorPrey Model with Disease in the Prey

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10