Lotka-Volterra System of Predator-Prey Type with Time-Dependent Diffusive
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Abstract
The dynamics of a Lotka-Volterra system of predator-prey type with time-dependent diffusive is studied. First, the existence and uniquely of positively global solution, uniform boundedness, and extinction are investigated. The analytical investigation uses a C0-quasi semigroup approach. The stabilities of the positively homogeneous steady states of the system are analyzed. Further, a simple analysis of Turing instability and Hopf bifurcation due to diffusion is also discussed that is confirmed by the bifurcation diagram.
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