ECO-EPIDEMIOLOGICAL MODELS OF SALTON SEA WITH INFECTED PREY

被引：5

作者：

Khan, Q. J. A. ^{[1
]}

Balakrishnan, E. ^{[1
]}

Al Harthi, Azza Hamood ^{[1
]}

机构：

[1] Sultan Qaboos Univ, Coll Sci, Dept Math & Stat, Muscat 123, Oman

来源：

JOURNAL OF BIOLOGICAL SYSTEMS | 2013年 / 21卷 / 01期

关键词：

Susceptible Tilapia; Infected Tilapia; Pelican; Switching; Stability; Time Delay; Hopf Bifurcation; SWITCHING MODEL; 2; HABITATS; STABILITY; PELICANS; DISEASE; RISK;

D O I：

10.1142/S0218339013500034

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Two models for the interaction of susceptible and infected Tilapia population with Pelican population are studied. Here, we considered that Pelican interact with both susceptible and infected Tilapia in proportion to their abundance. Stability near nonzero equilibria is presented. In the second model, time delay is incorporated in the disease transmission term and Hopf bifurcation is analyzed by taking time delay as a bifurcation parameter. Numerical simulations are performed to support the analytical results.

引用

页数：21

共 26 条

[1]

Arnol'd V.I., 1971, ORDINARY DIFFERENTIA

[2] Harvesting as a disease control measure in an eco-epidemiological system - A theoretical study [J].

Bairagi, N. ;

Chaudhuri, S. ;

Chattopadhyay, J. .

MATHEMATICAL BIOSCIENCES, 2009, 217 (02) :134-144

[3] Pelicans at risk in Salton Sea - an eco-epidemiological model-II [J].

Chattopadhyay, J ;

Srinivasu, PDN ;

Bairagi, N .

ECOLOGICAL MODELLING, 2003, 167 (1-2) :199-211

[4] Pelicans at risk in Salton sea - an eco-epidemiological model [J].

Chattopadhyay, J ;

Bairagi, N .

ECOLOGICAL MODELLING, 2001, 136 (2-3) :103-112

[5]

Chow S.-N., 2012, Methods of Bifurcation Theory, V251

[6]

Fisher P., 1934, CR SOC BIOLOGEOGR, V92, P47

[7] PRINCIPLES OF INSECT PREDATION [J].

HOLLING, CS .

ANNUAL REVIEW OF ENTOMOLOGY, 1961, 6 :163-+

[8] Breeding adjustment of small mammals to avoid predation [J].

Khan, Q. J. A. ;

Al-Lawatia, M. ;

Al-Senaidi, M. H. M. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (12) :4337-4355

[9] Switching model with two habitats and a predator involving group defence [J].

Khan, QJA ;

Bhatt, BS ;

Jaju, RP .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 1998, 5 (02) :212-229

[10] STABILITY OF A SWITCHING MODEL WITH 2 HABITATS AND A PREDATOR [J].

KHAN, QJA ;

BHATT, BS ;

JAJU, RP .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1994, 63 (05) :1995-2001

← 1 2 3 →