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A problem of local and global attractors in bounded reaction systems

Consider the discretized system of 5 dimensional SIRS model
$\dot x_1 = -kx_1 + kxy_5$
$\dot x_2 = -ax_2 – cx_1$
$\dot x_3 = kx_1 + kxy_5$
$\dot x_4 = -cx_2$
$\dot x_5 = -kx_1 – kxy_5$
where $k, a, c, k_2, k_5$ are positive constants and $x_1,x_2,\dots,x_5$ are the corresponding state variables.
I found the set of equilibrium points of this system
$$(0,0,0,0,0)$$$$(1,0,0,0,0)$$$$(0,0,0,1,0)$$$$(1,0,0,0,1)$$$$(0,0,1,0,0)$$$$(0,1,0,0,0)$$$$(1,0,1,0,0)$$$$(0,0,0,0,0)$$$$(0,1,0,0,0)$$$$(0,0,0,0,0)$$$$(0,1,1,0,0)$$$$(0,0,0,0,0)$$$$(0,0,0,0,0)$$$$(1,0,0,0,0)$$$$(0,1,0,0,0)$$$$(0,0,1,0,0)$$$$(0,0,1,0,0)$$$$(0,0,0,0,0)$$$$(0,1,0,0,0)$$$$(0,1,0,0,0)$$$$(0,0,0,0,0)$$(0,0,0

0. Network Analysis : Meaning, Models, Tools. The German version of Network Analysis published by G. KÃ¶tzing, C. Tasshoff and D. Roy Choudhury [1992] has been used as textbook for graduate students and Â .Microporous polymers containing carboxylic acid groups formed by anionic polymerization of acid monomers, such as, methacrylic acid and acrylic acid, have been widely used in fields such as cosmetics, medicines, and paints, due to their excellent compatibility with polar substrates. Such carboxylic acid-containing polymers can be obtained by a conventional anionic polymerization process, in which a polymerization initiator consisting of an alkali metal salt of a higher hydrocarbon compound is dissolved in a solvent that can dissolve the polymerization initiator, and a monomer containing acid groups is added to the polymerization initiator solution to obtain a polymerization initiator solution containing the polymeric initiator and the acid monomer dissolved therein.
However, a polymerization initiator solution obtained by the conventional anionic polymerization process requires removing the polymerization initiator or the acid monomer by distillation or washing, prior to use. Thus, a process which allows simple and easy purification of the acid monomer and polymerization initiator is desired.
To achieve such a simple and easy process for purification of the acid monomer and polymerization initiator, a method for performing the polymerization reaction in the presence of an adsorption ionic liquid has been proposed (Patent Documents 1 and 2). way, with the classic type of hard rock and punk the band was hailed as a counterpoint to groups like hardcore- and stoner-rock.

The band initially disbanded in 2005, and the members went their separate ways, with Cole focusing on work in theatre and Shierlaw focusing on his then-wife’s film production company.

In 2007, Shierlaw formed the group No Heroes and announced the release of their album Kill and Run on September 11, 2007.

In 2010 Shierlaw, MacLachlan, and Cole reunited to perform at the Seattle, Washington Hardcore Fest.

Lineup
Alec MacLachlan – vocals and guitar
Joe Shierlaw – drums
John Mitchell – bass guitar
Kelly Cole – guitar and vocals

Discography

Studio albums
Live Like Animals (2.8.0.4.1 Records) (
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A:

If your problem is that the following text is shown:
To reduce the risk of spreading the disease , you need to

Prevent transmission of germs from infected people to healthy people,
Prevent the spread of germs from community to community, and
Prevent the spread of germs from community to the health care
system .

and not that there is a series of numbers in the following positions:
“Prevent transmission of germs from infected people to healthy people,
Prevent the spread of germs from community to community, and
Prevent the spread of germs from community to the health care
system .”

then use the following to fix the problem:
string document = “Networks and Systems.docx”;

TextRange tr = doc.Content.Bolding.Find(document);

// Trim whitespace at the beginning and end.
tr.Text = tr.Text.Trim();

System.Diagnostics.Debug.WriteLine(tr.Text.ToString());

Terrific entries in the contest, you guys really stepped up the game! I had a difficult time deciding which ones to vote on but I think I chose wisely this time! So many phenomenal designs, thank you for inspiring me to keep sketching and drawing.

I have to add that this gallery is so amazing to me, thanks to everyone who took the time to create it for everyone to see and I wish everyone a very healthy and blessed 2012.

Some of them are the first creation I ever made so the memories of this year will be filled with them forever.

First off, wish everyone a very happy New Years. I hope to remain strong and keep drawing like a mad man in the coming year. I’m not sure I will post here as much as I had, but definitely be sure to check my main site, I have some really exciting updates.

Whether it’s images, artworks or sketches, I enjoy creating as much as I enjoy viewing it. I believe all things are connected through art, even music, believe me I could go on and on about this, the point I’m getting at is, if you like what you see here, then