Table 1 Table of the biological description of variables and parameters

S

Susceptible prey population density.

I

Infected prey population density.

P

Predator population density.

r̂

Recruitment rate into prey population.

β̂

Transmission coefficient of disease in prey.

γ̂

Recovery rate of infected prey.

α̂

Attack rate of predator.

â

Half saturation constant.

ĉ

Conversion efficiency of predator.

\(\hat{d_{1}} \)

Natural death rate of susceptible prey.

\(\hat{d_{2}} \)

Natural death rate of infected prey.

\(\hat{d_{3}} \)

Natural death rate of predator.