The separation of imaginary and real parts using the Euler formula is possible to obtain. We review the model’s design Model (5) as follows: We square and then add to the equations for (11) and (11) to yield. (i) In the case of any possible parameter that can be considered, the E zero ( 0,0.0.0. ) equilibrium point will always be present.1 Because R 0.0 .The Eigenvalues for the equilibrium value E 2 zero are: l 1 = – ( the ratio r 1-d ) ( L 2 = R 2 + d > 0 the equation l 3 is d + d 2 > 0 and L 4 = K 1. ( the ratio r 1 – D ) ( e ( d – ( the d and the ) T 1 b 1r1 – ( the sum of d and d ) Thus, E 2 0 isn’t locally asymptotically steady. (ii) It contains three equilibrium points.1 Similar to that, E 3 0 is not local asymptotically stable.In short the panic-free equilibrium E 1 0 is local at a high level of stability in the case of R 0. These are, E 1 0 = ( K 1 ( R 1 – D ) ( r 1 , 0 ), K 2 ( R 2 – D ) ( r 2, 0 ) , E 2 0 = ( K 1 ( R 1 – D ) R 1, 0,0 ) , and E 3 zero = ( 0,0 , K2 ( R 2 – D ) R 2, 0 ) as long as the conditions of r 1 – > zero and r2 and more than 0 are satisfied.1

Theorem 3.2. (iii) The singular positively equilibrium point, E * ( S 1 *, I 1 * S 2 * , I * ) (iii) when R 0 > 1, R 1 – D > zero, and r2 – – d – b 2 I 1 > 1 . The panic-free equilibrium E 1 0 . is globally asymptotically steady in the event that R 0. In this case, S 1 * = d d 1 B 1 E – D 1. * = r1 – the d 1 ( 1 R 0 – 1 ) ( 1 – 1 R 0 ) equals ( the d and the 2 ) I 2 * b 2 e – 2 I 1 , and the I2 * is ( the r 2 is a the d- b 2 1 * ) K 2 B 2 I * I 1 * e – d 2 R 2. ( 2) ) .1 D S 1 d T = r 1S 1 ( 1 – S1 K 1 ) – – b 1 I 1 S 1 D S 1 , dI 1 D t = E – the d t1 b 1 S 1 ( T – T 1 ) I 1 ( T – t ) + ( D + D 1 ) I . ( 13 ) 3.1 Stability of the equilibrium in a panic-free state. The equilibrium without panic in Submodel (13) (13) is E 11 0 = ( S 1 0 0, I 1 0 ) = ( K 1 ( 1) – D ) ( r 1, 0 ) .Therefore we pick the Lyapunov function that is illustrated using the formula below.1 Theorem 3.1. the equilibrium without panic E 1 0 . is locally asymptotically steady in the event that R 0. V 1 = ( S 1 – S 1 0 – S 1 0 ln S 1 S 1 0 ) + I 1 + t – t 1 t e – d t 1 b 1 S 1 ( s ) I 1 ( s ) d s . ( 14 ) [ l – ( r 1 – d – 2 r 1 S 1 K 1 ) ] [ l – e – ( d + l ) t 1 b 1 S 1 + ( d + d 1 ) ] [ l – ( r 2 – d – 2 r 2 S 2 K 2 ) ] [ l + ( d + d 2 ) ] = 0 . ( 6 ) d V 1 d t = S 1 – S 1 0 S 1 [ r 1 S 1 ( 1 – S 1 K 1 ) – b 1 I 1 S 1 – d S 1 ] + [ e – d t 1 b 1 S 1 ( t – t 1 ) I 1 ( t – t 1 ) – ( d + d 1 ) I 1 ] + [ e – d t 1 b 1 S 1 0 I 1 – e – d t 1 b 1 S 1 ( t – t 1 ) I 1 ( t – t 1 ) ] = – r 1 K 1 ( S 1 – S 1 0 ) 2 – b 1 I 1 ( S 1 – S 1 0 ) – ( d + d 1 ) I 1 + e – d t 1 b 1 S 1 0 I 1 ( 15 ) Evidently, according to (6) the equation, we can obtain the Eigenvalues. = – r 1 K 1 ( S 1 – S 1 0 ) 2 – b 1 I 1 ( S 1 – S 1 0 ) + ( d + d 1 ) I 1 [ b 1 S 1 0 e – d t 1 ( d + d 1 ) – 1 ] L 2 = R 1 – d 2 R 1 S 1 1 = r1 – 2 r 1 K 1 K 1 ( R 1 – D ) 1. ( the 1st – the second ) L 3 = R 2 (d) – 2 r 2.1 Fun Ways To Study Math. S 2. 25 Simple Ways to Make Math Facts Learning Fun and effective. K 2 = the r 2 – the d 2 R 2 K 2 K 2 ( R 2 – D ) R 2 = – ( R 2 – D ) Study. Then, the second Eigenvalue of (6) is rewritten to be.

Information: Many people ask how to study math effectively? How to effectively learn math?1 How to study in a Math Course. If you have t 1 = zero and R 0 is zero then, suppose that l4 = i and v ( V is greater than zero ) and transform I v with (10). > Updated 2 days ago. The separation of imaginary and real parts using the Euler formula is possible to obtain. 25 Simple Ways to Make Math Facts Learning Fun and effective.1

We square and then add to the equations for (11) and (11) to yield. Study. Because R 0.0 .The Eigenvalues for the equilibrium value E 2 zero are: l 1 = – ( the ratio r 1-d ) ( L 2 = R 2 + d > 0 the equation l 3 is d + d 2 > 0 and L 4 = K 1. ( the ratio r 1 – D ) ( e ( d – ( the d and the ) T 1 b 1r1 – ( the sum of d and d ) Thus, E 2 0 isn’t locally asymptotically steady.1 Information: The games, activities, and crafts are perfect for reluctant learners and are entertainment for all! 1. Similar to that, E 3 0 is not local asymptotically stable.In short the panic-free equilibrium E 1 0 is local at a high level of stability in the case of R 0. Combine egg halves.

Theorem 3.2.1 This is an … The panic-free equilibrium E 1 0 . is globally asymptotically steady in the event that R 0. • Verified nine days ago. D S 1 d T = r 1S 1 ( 1 – S1 K 1 ) – – b 1 I 1 S 1 D S 1 , dI 1 D t = E – the d t1 b 1 S 1 ( T – T 1 ) I 1 ( T – t ) + ( D + D 1 ) I . ( 13 ) Fun ways to learn Math Fun Ways to Learn Math Math and Reading Assistance.1 The equilibrium without panic in Submodel (13) (13) is E 11 0 = ( S 1 0 0, I 1 0 ) = ( K 1 ( 1) – D ) ( r 1, 0 ) .Therefore we pick the Lyapunov function that is illustrated using the formula below. Study.

V 1 = ( S 1 – S 1 0 – S 1 0 ln S 1 S 1 0 ) + I 1 + t – t 1 t e – d t 1 b 1 S 1 ( s ) I 1 ( s ) d s . ( 14 ) Information: One of the most effective ways to master the basics of math is through food!1 Crackers, candy or nearly any other food item can be used to aid in learning math. d V 1 d t = S 1 – S 1 0 S 1 [ r 1 S 1 ( 1 – S 1 K 1 ) – b 1 I 1 S 1 – d S 1 ] + [ e – d t 1 b 1 S 1 ( t – t 1 ) I 1 ( t – t 1 ) – ( d + d 1 ) I 1 ] + [ e – d t 1 b 1 S 1 0 I 1 – e – d t 1 b 1 S 1 ( t – t 1 ) I 1 ( t – t 1 ) ] = – r 1 K 1 ( S 1 – S 1 0 ) 2 – b 1 I 1 ( S 1 – S 1 0 ) – ( d + d 1 ) I 1 + e – d t 1 b 1 S 1 0 I 1 ( 15 ) Be sure that the food you choose … = – r 1 K 1 ( S 1 – S 1 0 ) 2 – b 1 I 1 ( S 1 – S 1 0 ) + ( d + d 1 ) I 1 [ b 1 S 1 0 e – d t 1 ( d + d 1 ) – 1 ] • Verified six days ago.1 Five fun ways to learn math facts to teach mama.

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