On a new eco-epidemiological model for migratory birds with modified Leslie-Gower functional schemes

被引：24
作者：
Fan, Kuangang [3 ]
Zhang, Yan [1 ,2 ]
Gao, Shujing [2 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430000, Peoples R China
[2] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Peoples R China
[3] Jiangxi Univ Sci & Technol, Sch Mech & Elect Engn, Ganzhou 341000, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
关键词：
migratory birds; Leslie-Gower functional response; saturated incidence and recovery rate; VOLTERRA COMPETITIVE-SYSTEMS; POPULATION; DISEASE; PERMANENCE; DRAWN;
D O I：
10.1186/s13662-016-0825-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Migratory birds are critical to the prevalence of many epidemic diseases. In this paper, a new two species eco-epidemiological model with disease in the migratory prey is formulated. A modified Leslie-Gower functional scheme, with saturated incidence and recovery rate are considered in this new model. Through theoretical analysis, a series of conditions are established to ensure the extinction, permanence of the disease, and to keep the system globally attractive. It was observed that if the lower threshold value , the infective population of the periodic system is permanent, whereas if the upper threshold value , then the disease will go to extinction. Our results also show that predation could be a good choice to control disease and enhance permanence.
引用
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页码：1 / 20
页数：20
相关论文
共 21 条
[1]   Role of migratory birds under environmental fluctuation - A mathematical study [J].
Chatterjee, Samrat ;
Pal, S. ;
Chattopadhyay, J. .
JOURNAL OF BIOLOGICAL SYSTEMS, 2008, 16 (01) :81-106
[2]   Time delay factor can be used as a key factor for preventing the outbreak of a disease - Results drawn from a mathematical study of a one season eco-epidemiological model [J].
Chatterjee, Samrat ;
Das, Kalyan ;
Chattopadhyay, J. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (05) :1472-1493
[3]   Role of migratory bird population in a simple eco-epidemiological model [J].
Chatterjee, Samrat ;
Chattopadhyay, J. .
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2007, 13 (01) :99-114
[4]   Alternative prey source coupled with prey recovery enhance stability between migratory prey and their predator in the presence of disease [J].
Chatterjee, Samrat .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) :4415-4430
[5]   Disease in prey population and body size of intermediate predator reduce the prevalence of chaos-conclusion drawn from Hastings-Powell model [J].
Das, Krishna Pada ;
Chatterjee, Samrat ;
Chattopadhyay, J. .
ECOLOGICAL COMPLEXITY, 2009, 6 (03) :363-374
[6]   Ecology and evolution of the flu [J].
Earn, DJD ;
Dushoff, J ;
Levin, SA .
TRENDS IN ECOLOGY & EVOLUTION, 2002, 17 (07) :334-340
[7]   PERMANENCE FOR NONAUTONOMOUS N-SPECIES LOTKA-VOLTERRA COMPETITIVE SYSTEMS WITH FEEDBACK CONTROLS [J].
Feng, Xiaomei ;
Teng, Zhidong ;
Zhang, Long .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2008, 38 (05) :1355-1376
[8]   The effects of migratory bird population in a nonautonomous eco-epidemiological model [J].
Gao, Shujing ;
Zhang, Fumin ;
He, Yuying .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (06) :3903-3916
[9]   PREDATOR-PREY POPULATIONS WITH PARASITIC INFECTION [J].
HADELER, KP ;
FREEDMAN, HI .
JOURNAL OF MATHEMATICAL BIOLOGY, 1989, 27 (06) :609-631
[10]   Dynamical analysis and chaos control of a discrete SIS epidemic model [J].
Hu, Zengyun ;
Teng, Zhidong ;
Jia, Chaojun ;
Zhang, Chi ;
Zhang, Long .
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
123