ANALYSIS OF A PREY – PREDATOR MODEL WITH GENERAL INCIDENCE

Authors

  • Zeinb. E. Alhejaze Department of mathematics, Faculty of Science, Omar Al-Mukhtar University, El-bieda

DOI:

https://doi.org/10.53555/eijas.v1i2.146

Keywords:

Stability, Lyapunove function, prey, predator, dynamic-equilibria

Abstract

In this paper we have analyzed prey-predator systems where the prey population is divided into two groups, infected. Also we have considered the effect of intraspecific competition between infected preys as well as on predator where the species observed in nature species does not exist alone.

In this paper we discuss different systems of prey – predator model of the general 2dimensional with general incidence H(S, I). Also, study discuss different systems of a prey – predator model with general incidence H(S,I). The aim of this paper is to study the dynamical behavior of a prey – predator model by different techniques with generalized incidence term.

References

Freedman H.I “A model of predator-prey dynamics as modified by the action of a parasite”, Math. Biosci. , 99,p. 143- 155, 1990

.AtulJohri,Trivedi,Sicodiya,Sing,Jain" study of a prey- predator Model with diseased prey"MathBiosci, 13, P. 10-115, 2012.

.Hadeler K.P., Freedman H.I. “Predator-prey populations with parasite infec-tion”,J. Math. Biol., 27, p. 609-631, 1989 [4].D. Mukherjee, Persistance and Global stability of a population in a polluted environment with deley.J.Biol. Sys.

(1) (2002), 225-232.

.D. Mukherjee, stability Analysis of a prey- predator predator Model with diseased prey"MathBiosci, 13, P. 10-115, 2003

.Xiao Y., Chen L “Modeling and analysis of a predator-prey model with disease in the prey “, Math. Biosci., 171, p.

-82, 2003

.Xiao Y., Chen L “Analysis of a three species Eco-Epidemiological model”,J. Math. Anal. Appl, 258, p. 733-754, 2001

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Published

2015-03-27