| Summary: | Model of predator-prey with infected prey in toxical environment is discussed in
this thesis. The objective of this research are to find out whether each of populations is
extinct or not and to know the existence of toxicant concentration.
In this thesis, two models are constructed, those are, model of prey predator with
infected prey and model of prey predator with infected prey in toxical environment.
Toxicant affects the growth rate of susceptible and infected prey but not affects the
growth rate of predator population.
There are four equilibrium points in the model of prey predator with infected prey.
With appropriate parameter value and any initial value near equilibrium points, then
for a long time, there are three possibilities, those are the infected prey and predator
will be extinct and susceptible prey will be existent, the susceptible prey and predator
will be existent and the infected prey will be extinct, or the only population that will be
extinct is predator population. Then, with appropriate parameter value, for a long time,
the susceptible and infected prey and predator population will be existent for any
initial value. In the model of prey predator with infected prey in toxical environment,
there are four equilibrium points. With appropriate parameter value and any initial
value near equilibrium points, then for a long time, there are three possibilities, those
are only the infected population that will be extinct, only the predator population that
will be extinct, or the infected prey and predator population will be extinct. Then, with
appropriate parameter value, for a long time, susceptible and infected prey population
and predator population will be existent for any initial value. Numerical simulation is
given to ilustrate stability behaviour of equilibrium point.
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