Stability analysis of predator-prey system with migrating prey and disease infection in both species

被引：44

作者：

Kant, Shashi ^{[1
]}

Kumar, Vivek ^{[1
]}

机构：

[1] Delhi Technol Univ, Dept Appl Math, Main Bawana Rd, Delhi 110042, India

来源：

APPLIED MATHEMATICAL MODELLING | 2017年 / 42卷

关键词：

Prey-predator system; Stability; Lotka-Volterra functional response; FUNCTIONAL-RESPONSES; MODEL; DYNAMICS; INTERFERENCE; BIFURCATION; PARASITES;

D O I：

10.1016/j.apm.2016.10.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We formulated and studied a predator-prey system with migrating prey and disease infection in both species. We used Lotka-Volterra type functional response. Mathematically, we analyzed the dynamics of the system such as existence of non negative equilibria, their stability. The basic reproduction number R-0 for the proposed mathematical model is calculated. Disease is endemic if R-0 > 1. Model is simulated by assuming hypothetical initial values and parameters. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：509 / 539

页数：31

共 50 条

[1] Dynamics of Predator-Prey System with Migrating Species and Disease in Prey Population
Arora, Charu
Kumar, Vivek
[J]. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2021, 29 (01) : 87 - 112
[2] Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species
Meng, Xin-You
Qin, Ni-Ni
Huo, Hai-Feng
[J]. JOURNAL OF BIOLOGICAL DYNAMICS, 2018, 12 (01) : 342 - 374
[3] Stability Analysis of Predator-Prey System with Consuming Resource and Disease in Predator Species
Ejaz, Asad
Nawaz, Yasir
Arif, Muhammad Shoaib
Mashat, Daoud S.
Abodayeh, Kamaleldin
[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2022, 132 (02): : 489 - 506
[4] Dynamics of Predator–Prey System with Migrating Species and Disease in Prey Population
Charu Arora
Vivek Kumar
[J]. Differential Equations and Dynamical Systems, 2021, 29 : 87 - 112
[5] Predator-prey model with disease infection in both populations
Hsieh, Ying-Hen
Hsiao, Chin-Kuei
[J]. MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA, 2008, 25 (03): : 247 - 266
[6] STABILITY OF PREDATOR-PREY SYSTEM
DROZDOV, AD
KOLMANOVSKII, VB
TRIGIANTE, D
[J]. AUTOMATION AND REMOTE CONTROL, 1992, 53 (11) : 1697 - 1704
[7] Analysis of a Periodic Impulsive Predator-Prey System with Disease in the Prey
Wang, Lianwen
Liu, Zhijun
[J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
[8] Analysis of a delay nonautonomous predator-prey system with disease in the prey
Samanta, G. P.
[J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2010, 15 (01): : 97 - 108
[9] STABILITY ANALYSIS TO A PREDATOR-PREY SYSTEM WITH DELAY
Yi Qu
[J]. Annals of Applied Mathematics, 2012, 28 (04) : 423 - 428
[10] A predator-prey fractional model with disease in the prey species
Domínguez-Alemán, Ilse
Domínguez-Alemán, Itzel
Hernández-Gómez, Juan Carlos
Ariza-Hernández, Francisco J.
[J]. Mathematical Biosciences and Engineering, 2024, 21 (03) : 3713 - 3741

← 1 2 3 4 5 →