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In this paper, we deal with a strong coupled predator–prey model with modified Holling–Tanner functional response under homogeneous Neumann boundary conditions. We mainly discuss the following two problems: (1) stability of the positive constant solution; (2) existence and non-existence results as regards the non-constant positive solutions.
In this paper, we consider the following viscoelastic equations with initial condition and zero Dirichlet boundary condition. Using the concavity method, we obtained sufficient conditions on the initial data with arbitrarily high energy such that the solution blows up in finite time.
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