Problem with Input.touchCount

I have a problem with Input.touchCount changing to 0 before I release my finger from the screen. I'll hold my finger on one of my move spots on the screen, and the transform will move. After about ~15 seconds Input.touchCount will change back to 0 (with my finger still in the same position) causing my moveVector to go to (0,0,0). I will stop moving at this time, and I don't want that. I can't seem to find if touches have a expiration time, which might be what is causing this. Any help would be appreciated. Here is my code for moving.

 using UnityEngine;
 using System.Collections;
 
 public class Move : MonoBehaviour {
     
     Vector3 moveVector = new Vector3(0,0,0); //Move Vector is added to my transform every frame
     Vector2 touchVector = new Vector2(0,0); //Where the touch is on the screen
     public float moveSpeed = 1.0f; 
     private float screenWidth;
     private float screenHeight;
     private Transform myTransform;
     
     // Use this for initialization
     void Start () {
         screenWidth = Screen.width;
         screenHeight = Screen.height;
         myTransform = transform;
     }
     
     // Update is called once per frame
     void Update () {
         DetectTouches();
         transform.position += moveVector * Time.deltaTime;
         myTransform = transform;
     }
     
     public void DetectTouches(){
         if(Input.touchCount == 0){
             moveVector = new Vector3(0,0,0);
         }
         else if(Input.touchCount == 1 && Input.GetTouch(0).phase == TouchPhase.Began){
             touchVector = Input.GetTouch(0).position; //Just used to display on the GUI for debuging
             
             //Move to the left
             if(Input.GetTouch(0).position.x >= 20 && Input.GetTouch(0).position.x <= 120 && 
                 Input.GetTouch(0).position.y >= 75 && Input.GetTouch(0).position.y <= 175){
                     moveVector.x = -moveSpeed;    
                     //transform.Translate(-moveSpeed * Time.deltaTime, 0 , 0);
             }
             
             //Move to the right
             else if(Input.GetTouch(0).position.x >= 125 && Input.GetTouch(0).position.x <= 225 && 
                 Input.GetTouch(0).position.y >= 75 && Input.GetTouch(0).position.y <= 175){
                     moveVector.x = moveSpeed;
                     //transform.Translate(moveSpeed * Time.deltaTime, 0 , 0);
             }
             
             //Move to the front
             else if(Input.GetTouch(0).position.x >= 20 && Input.GetTouch(0).position.x <= 225 && 
                 Input.GetTouch(0).position.y >= 180 && Input.GetTouch(0).position.y <= 230){
                     moveVector.z = moveSpeed;    
                     //transform.Translate(0, 0 , moveSpeed * Time.deltaTime);
             }
             
             //Move to the back
             else if(Input.GetTouch(0).position.x >= 20 && Input.GetTouch(0).position.x <= 225 && 
                 Input.GetTouch(0).position.y >= 20 && Input.GetTouch(0).position.y <= 70){
                     moveVector.z = -moveSpeed;    
                     //transform.Translate(0, 0 , -moveSpeed * Time.deltaTime);
             }
             
         }
         //else if(Input.touchCount == 1 && Input.GetTouch(0).phase == TouchPhase.Ended){
             //moveVector = new Vector3(0,0,0);    
         //}
     }
     
     void OnGUI(){
         GUI.Box(new Rect(20, screenHeight - 175, 100, 100), "<");
         GUI.Box(new Rect(125, screenHeight - 175, 100, 100), ">");
         GUI.Box(new Rect(20, screenHeight - 230, 205, 50), "^");
         GUI.Box(new Rect(20, screenHeight - 70, 205, 50), "B");
         
         //Next is just used to help debug
         GUI.Label(new Rect(10, 10, 500, 25), touchVector.ToString() + " Transform: " + myTransform.position + " MoveVector: " + moveVector + " " + Input.touchCount);
     }
 }