Prey-predator Eco-epidemiological Model with Nonlinear Transmission of Disease
Qamar J. A. Khan and Fatma Ahmed Al-Kharousi
Full Length Research Paper I Published June, 2018
Journal of Medical and Biological Science Research Vol.
4 (2), pp. 57-71.
ABSTRACT
Nonlinear transmission of
disease between infected and uninfected prey was studied
using a prey-predator eco-epidemiological model. The
interaction of predators with infected and uninfected prey
species depends on their
numerical superiority.
Harvesting
of both
uninfected and infected
prey was
carried
out, and stability
analysis
was carried
out for
equilibrium values. Using
the
parameter µ,
the death rate of infected prey as a bifurcation parameter,
it is shown that Hopf bifurcation could occur. The
theoretical results are compared with numerical results for
different sets of
parameters.
Key words: Prey, predator, Hopf
bifurcation, harvesting, stability
- Journal of Agricultural Science and Food Technology (JASFT)
- Journal of Medical and Biological Science Research (JMBSR)
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- Research Journal of Educational Studies and Review (RJESR)
- Journal of Physical Science and Environmental Studies (JPSES)
- Research Journal of Engineering and Technology (RJET)
- Pearl Journal of Management, Social Science and Humanities (PJMSSH)