%0 Journal Article
%T STUDY OF A PREY-PREDATOR DYNAMICS UNDER THE SIMULTANEOUS EFFECT OF TOXICANT AND DISEASE
%A SINHA, SUDIPA
%A MISRA , O.P.
%A DHAR, JOYDIP
%J Journal of Nonlinear Sciences and Applications
%D 2008
%V 1
%N 2
%@ ISSN 2008-1901
%F SINHA2008
%X A mathematical model is proposed to study the simultaneous effects of toxicant and infectious disease on Lotka-Volterra prey-redator system.
It is considered in the model that only the prey population is being affected by
disease and toxicant both, and the susceptible and infected prey populations
are being predated by predator. All the feasible equilibrium of the model are
obtained and the condition for the existence of interior equilibrium point is also
been determined. The criteria for both local stability and instability involving ecotoxicological and epidemiological parameters are derived. The global
stability of the interior equilibrium point is discussed using Lyapunov's direct
method. The results are compared with the case when environmental toxicant
is absent. Moreover, threshold conditions depending upon toxicant, disease
and predation related parameters for the non-linear stability of the model is
determined. Finally, the numerical verifications of analytic results are carried
out.
%9 journal article
%R 10.22436/jnsa.001.02.06
%U http://dx.doi.org/10.22436/jnsa.001.02.06
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