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This approach permits an easy interpretation of the concept of "Steady-State Equivalent Biological Systems" proposed in the above cited papers.
As in the above cited papers we assume that the strength of long-range connections is small compared to that of local connections.
Motivated by the results of the above cited papers, we study the nonexistence and existence of positive entire solutions for system (1.1) deeply, and the results of the semilinear systems are extended to the quasilinear ones.
To overcome the problems in the above cited papers, we introduce and consider a new class of variational inequalities, named regularized nonconvex variational inequalities, instead of the class of nonconvex variational inequalities introduced in the above mentioned papers.
Although the period of 6 minutes used is quite unrealistic, the duration of a contact of approximately one minute as well as the maximum goodput of 22 Mb/s matches the observations made in the above cited papers, for a bus traveling at 80 km/h and a gateway next to the road.
As far as we know, all conditions established for existence of solutions of variational relation problems in the above cited papers utilize intersection theorems or fixed point theorems involving the KKM property of set-valued mappings in one or another form [15].
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Moreover, in the above cited paper of Kantelhardt et al. [ 35], anticorrelations in heart rate increment sign series were also seen to be closely linked with sleep stages: "short-range anticorrelations... are strong during deep sleep, weaker during light sleep, and even weaker during REM sleep".
Of the cited papers, 1036 (76% of the identified papers) fell within the oncology subfield (ONCOL), as defined by the Cancer Research UK oncology filter, described above.
It is implicitly applied when rewarding highly cited papers.
These cited papers also acknowledged more funding bodies.
In the present paper, inspired by the above cited works and by the recent works going in this direction, we proposed a new LQP-based prediction-correction method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com