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In the present paper, we adopt the contraction mapping principle to study the boundedness and stability of (1.1) and (1.2).
This framework also allows us to prove a linear stability principle to study the bifurcations of the solutions when varying the nonlinear gain and the propagation times.
Motivated by the above works, we construct an appropriate auxiliary function and use the Hopf maximum principle to study problem (1.1 - 1.3 1.1 - 1.3
By using the large deviation principle to study the buffers' congestion, we provide a lower upper bound on the buffers overflow probabilities.
A super-element of the primitive cell (unit cell) of the lattice has been formulated and applied in conjunction with the Floquet Bloch's principle to study the shock response characteristics.
This design allowed in principle to study four independent cases of loss of sexual reproduction.
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By substituting dose for pulse frequency, the 3D approach described here might be applied, in principle, to studying the effects of manipulations that alter pursuit of drugs.
Bioengineers in collaboration with orthopaedic surgeons have applied biomechanical principles to study clinically relevant problems, improving patient treatment and outcome.
In [19] and [21] Luchko has developed and implemented maximum principles to study the generalized fractional diffusion equation of Caputo fractional derivative.
After 200 years from discovery of hydrogen peroxide by Thenard, we now use synthetic biology principles to study functions of H2O2 in biological systems.
The National Institutes of Health working definition of biomedical engineering states, "Biomedical engineering integrates physical, chemical, mathematical, and computational sciences and engineering principles to study biology, medicine, behavior, and health.
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