An ecoepidemic model with diseased predators and prey group defense

被引:40
作者
Belvisi, Sabrina [1 ]
Venturino, Ezio [1 ,2 ]
机构
[1] Univ Turin, Dipartimento Matemat Giuseppe Peano, I-10123 Turin, Italy
[2] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
关键词
Predator-prey; Group defense; Ecoepidemic systems; Ecosystems; POPULATION; EPIDEMICS; SYSTEMS;
D O I
10.1016/j.simpat.2013.02.004
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper we consider a prey population that gathers in herds, together with its interactions with predators. The latter are affected by a disease, and only the healthy individuals hunt. The defensive attitude of the prey is reflected in the fact that mostly the individuals at the border of the herd suffer from the attacks of the predators. Equilibria and their stability are fully analysed. The system can either eliminate the predators, or the disease can be eradicated, or finally infected and healthy predators can coexist with prey. In particular circumstances persistent population oscillations can arise. The ultimate behavior of the system is characterized by two suitably introduced parameters, one of demographic nature, the other mainly of epidemiological significance. As in other ecoepidemic models, the analysis points out that the disease plays a relevant influence also when group defense is considered, so that the ultimate outcome of the system is not prescribed just by demographic considerations. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:144 / 155
页数:12
相关论文
共 34 条
[1]  
Ajrald V, 2009, P INT C CMMSE 2009, V1, P57
[2]   Modeling herd behavior in population systems [J].
Ajraldi, Valerio ;
Pittavino, Marta ;
Venturino, Ezio .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) :2319-2338
[3]  
[Anonymous], 1959, The Kinetics of Cellular Proliferation
[4]  
[Anonymous], 1956, ELEMENTS MATH BIOL, DOI DOI 10.2307/1909476
[5]  
[Anonymous], 1838, CORRESP MATH PHYS, DOI 10.1007/bf02309004
[6]   MODELING THE ROLE OF VIRAL DISEASE IN RECURRENT PHYTOPLANKTON BLOOMS [J].
BELTRAMI, E ;
CARROLL, TO .
JOURNAL OF MATHEMATICAL BIOLOGY, 1994, 32 (08) :857-863
[7]  
Belvisi S., 2010, P 10 INT C COMP MATH, V1, P188
[8]   Ecoepidemics with Identifiable Infectives II: Disease in the Predators [J].
Belvisi, Sabrina ;
Tomatis, Nicola ;
Venturino, Ezio .
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 :743-746
[9]  
Birkhoff Garrett, 1978, Ordinary Differential Equations, V4
[10]   Predator-prey dynamics with square root functional responses [J].
Braza, Peter A. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (04) :1837-1843