Synthetic drugs are replacing traditional ones and becoming the main popular ones gradually, which have given rise to serious social issues in recent years. In this paper, a synthetic drugs transmission model with psychological addicts and general contact rate is proposed. The local and global stabilities are decided by the basic reproduction number R-0. By analyzing the sensitivity of parameters, we obtain that controlling psychological addiction is better than drugs treatment. These results are verified by numerical simulations. (C) 2017 Elsevier B.V. All rights reserved.
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Department of Mathematics and Computer Science, Hassan II University, P.O. Box 7955, Sidi Othman, CasablancaDepartment of Mathematics and Computer Science, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca
Hattaf K.
Yousfi N.
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Department of Mathematics and Computer Science, Hassan II University, P.O. Box 7955, Sidi Othman, CasablancaDepartment of Mathematics and Computer Science, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca
机构:
Hassan II Univ, Dept Math & Comp Sci, Fac Sci Ben Msik, Casablanca, MoroccoHassan II Univ, Dept Math & Comp Sci, Fac Sci Ben Msik, Casablanca, Morocco
Hattaf, Khalid
Yousfi, Noura
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Hassan II Univ, Dept Math & Comp Sci, Fac Sci Ben Msik, Casablanca, MoroccoHassan II Univ, Dept Math & Comp Sci, Fac Sci Ben Msik, Casablanca, Morocco
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Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R ChinaNorthwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China
He, Juan
Zhang, Guo-Bao
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Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R ChinaNorthwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China
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King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
Almuallem, Nada
Wang, Xia
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Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Peoples R China
Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Peoples R ChinaKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia