JPQLで整数型のあいまい検索をしたい

JPQLでLIKE文を使って問い合わせをする際、パラメーター指定でInteger型を指定する際、エラーが出てしまいます

wordIDだけを指定すると問い合わせは通るのですが、これでは完全一致の検索になってしまいます

setParameter()のなかに文字型("%")と整数型(wordID)が入っているためエラーが出ていると思われるのですが、
このLIKE文を通すにはどうすればいいでしょうか

Emtity.java

java
1 public List<ModelEntity> whereModelID(String word){                       //人モデルIDから検索する
2        Integer wordID = Integer.parseInt(word);
3        TypedQuery<ModelEntity> q = (TypedQuery<ModelEntity>) em.createQuery("SELECT c FROM ModelEntity c WHERE c.humanmodelid LIKE :valueword",ModelEntity.class);
4         q.setParameter("valueword","%"+ wordID+"%");     //:valuewordにwordをセットする
5        return q.getResultList();                       //JPQLを実行する
6    }

エラーメッセージ

Caused by: java.lang.IllegalArgumentException: You have attempted to set a value of type class java.lang.String for parameter valueword with expected type of class java.lang.Integer from query string SELECT c FROM ModelEntity c WHERE c.humanmodelid LIKE :valueword.
	at org.eclipse.persistence.internal.jpa.QueryImpl.setParameterInternal(QueryImpl.java:944)
	at org.eclipse.persistence.internal.jpa.EJBQueryImpl.setParameter(EJBQueryImpl.java:607)
	at util.EntityDb.whereModelID(EntityDb.java:140)
	at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
	at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:62)
	at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
	at java.lang.reflect.Method.invoke(Method.java:498)
	at org.glassfish.ejb.security.application.EJBSecurityManager.runMethod(EJBSecurityManager.java:1081)
	at org.glassfish.ejb.security.application.EJBSecurityManager.invoke(EJBSecurityManager.java:1153)
	at com.sun.ejb.containers.BaseContainer.invokeBeanMethod(BaseContainer.java:4867)
	at com.sun.ejb.EjbInvocation.invokeBeanMethod(EjbInvocation.java:656)
	at com.sun.ejb.containers.interceptors.AroundInvokeChainImpl.invokeNext(InterceptorManager.java:836)
	at com.sun.ejb.EjbInvocation.proceed(EjbInvocation.java:608)
	at com.sun.ejb.containers.interceptors.SystemInterceptorProxy.doCall(SystemInterceptorProxy.java:163)
	at com.sun.ejb.containers.interceptors.SystemInterceptorProxy.aroundInvoke(SystemInterceptorProxy.java:140)
	at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
	at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:62)
	at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
	at java.lang.reflect.Method.invoke(Method.java:498)
	at com.sun.ejb.containers.interceptors.AroundInvokeInterceptor.intercept(InterceptorManager.java:895)
	at com.sun.ejb.containers.interceptors.AroundInvokeChainImpl.invokeNext(InterceptorManager.java:835)
	at com.sun.ejb.EjbInvocation.proceed(EjbInvocation.java:608)
	at org.jboss.weld.module.ejb.AbstractEJBRequestScopeActivationInterceptor.aroundInvoke(AbstractEJBRequestScopeActivationInterceptor.java:72)
	at org.jboss.weld.module.ejb.SessionBeanInterceptor.aroundInvoke(SessionBeanInterceptor.java:52)
	at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
	at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:62)
	at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
	at java.lang.reflect.Method.invoke(Method.java:498)
	at com.sun.ejb.containers.interceptors.AroundInvokeInterceptor.intercept(InterceptorManager.java:895)
	at com.sun.ejb.containers.interceptors.AroundInvokeChainImpl.invokeNext(InterceptorManager.java:835)
	at com.sun.ejb.containers.interceptors.InterceptorManager.intercept(InterceptorManager.java:374)
	at com.sun.ejb.containers.BaseContainer.__intercept(BaseContainer.java:4839)
	at com.sun.ejb.containers.BaseContainer.intercept(BaseContainer.java:4827)
	at com.sun.ejb.containers.EJBLocalObjectInvocationHandler.invoke(EJBLocalObjectInvocationHandler.java:212)
	... 52 more