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The fundamental idea of this type of solutions is that regarding to a specific cascade and its infected users, the probability that a user is infected by a previous one monotonically decreases with the increase in the difference of their infection time.
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A detail asymptotic analysis procedure to the one- and two-periodic wave solutions are presented, and the asymptotic properties of this type of solutions are proved.
This type of solution is called an analogous solution, and it's more common than you may think.
The benefit of this type of solution is that the preserved biodiversity also becomes a part of the new construction.
The validity and accuracy of this type of solution is investigated here by considering a single degree of freedom system for which the multiple solutions which are obtained may be compared with the exact response statistics.
This type of solution is shown in Fig. 15 in terms of the original variables.
This type of solution is stable since the stability condition is satisfied.
It has been pointed out, however, that this type of solution is not without serious problems (Shein, 2009).
Here, we suppose that there exists a solution of system (1) along a family of curves, called similarity curves, for which system (1) of partial differential equations reduces to a system of ordinary differential equations; this type of solution is called a similarity solution.
However, this type of solution is not widely recommended because there are reservations regarding how long the protective effect is, the development of new resistant strains, and its efficacy in such hyperendemic areas that have a high prevalence of undiagnosed cases.
The soils and rocks involved in the design of this type of solution are generally initially unsaturated and subject to complex thermal, hydraulic and mechanical (THM) coupled phenomena triggered by the simultaneous heating and hydration of the barrier materials under confined conditions.
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